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BT 34.016 338.580 Td /F1 28.5 Tf [(The Arithmetic Of Dynamical Systems )] TJ ET
BT 34.016 303.782 Td /F1 28.5 Tf [(Graduate Texts In Mathematics 241 By )] TJ ET
BT 34.016 268.983 Td /F1 28.5 Tf [(Silverman Joseph H Author Jun 06 2007 )] TJ ET
BT 34.016 234.185 Td /F1 28.5 Tf [(Hardcover)] TJ ET
BT 34.016 179.961 Td /F1 14.2 Tf [(Recognizing the habit ways to get this ebook )] TJ ET
BT 319.956 179.961 Td /F1 14.2 Tf [(The Arithmetic Of Dynamical )] TJ ET
BT 34.016 162.562 Td /F1 14.2 Tf [(Systems Graduate Texts In Mathematics 241 By Silverman Joseph H Author Jun )] TJ ET
BT 34.016 145.162 Td /F1 14.2 Tf [(06 2007 Hardcover)] TJ ET
BT 155.198 145.162 Td /F1 14.2 Tf [( is additionally useful. You have remained in right site to start )] TJ ET
BT 34.016 127.763 Td /F1 14.2 Tf [(getting this info. acquire the The Arithmetic Of Dynamical Systems Graduate Texts )] TJ ET
BT 34.016 110.364 Td /F1 14.2 Tf [(In Mathematics 241 By Silverman Joseph H Author Jun 06 2007 Hardcover belong )] TJ ET
BT 34.016 92.965 Td /F1 14.2 Tf [(to that we present here and check out the link. )] TJ ET
BT 34.016 58.465 Td /F1 14.2 Tf [(You could purchase lead The Arithmetic Of Dynamical Systems Graduate Texts In )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(Mathematics 241 By Silverman Joseph H Author Jun 06 2007 Hardcover or )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(acquire it as soon as feasible. You could speedily download this The Arithmetic Of )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Dynamical Systems Graduate Texts In Mathematics 241 By Silverman Joseph H )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(Author Jun 06 2007 Hardcover after getting deal. So, next you require the books )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(swiftly, you can straight acquire it. Its suitably agreed simple and fittingly fats, isnt )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(it? You have to favor to in this tone)] TJ ET
BT 34.016 221.599 Td /F1 14.2 Tf [(The Arithmetic of Dynamical Systems)] TJ ET
BT 270.779 221.599 Td /F1 14.2 Tf [( J.H. Silverman 2010-05-05 This book )] TJ ET
BT 34.016 204.200 Td /F1 14.2 Tf [(provides an introduction to the relatively new discipline of arithmetic dynamics. )] TJ ET
BT 34.016 186.801 Td /F1 14.2 Tf [(Whereas classical discrete dynamics is the study of iteration of self-maps of the )] TJ ET
BT 34.016 169.402 Td /F1 14.2 Tf [(complex plane or real line, arithmetic dynamics is the study of the number-)] TJ ET
BT 34.016 152.002 Td /F1 14.2 Tf [(theoretic properties of rational and algebraic points under repeated application of a )] TJ ET
BT 34.016 134.603 Td /F1 14.2 Tf [(polynomial or rational function. A principal theme of arithmetic dynamics is that )] TJ ET
BT 34.016 117.204 Td /F1 14.2 Tf [(many of the fundamental problems in the theory of Diophantine equations have )] TJ ET
BT 34.016 99.805 Td /F1 14.2 Tf [(dynamical analogs.This graduate-level text provides an entry for students into an )] TJ ET
BT 34.016 82.405 Td /F1 14.2 Tf [(active field of research and serves as a standard reference for researchers.)] TJ ET
BT 34.016 65.006 Td /F1 14.2 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 235.938 65.006 Td /F1 14.2 Tf [( Joseph H. Silverman 2013-03-09 The theory of )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(elliptic curves is distinguished by its long history and by the diversity of the )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(methods that have been used in its study. This book treats the arithmetic approach )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(in its modern formulation, through the use of basic algebraic number theory and )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(algebraic geometry. Following a brief discussion of the necessary algebro-)] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(geometric results, the book proceeds with an exposition of the geometry and the )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(formal group of elliptic curves, elliptic curves over finite fields, the complex )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(numbers, local fields, and global fields. Final chapters deal with integral and )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(rational points, including Siegels theorem and explicit computations for the curve Y )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(= X + DX, while three appendices conclude the whole: Elliptic Curves in )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(Characteristics 2 and 3, Group Cohomology, and an overview of more advanced )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(topics.)] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(Algebraic and Topological Dynamics)] TJ ET
BT 264.467 180.203 Td /F1 14.2 Tf [( S. F. Koli?ada 2005 This volume contains a )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(collection of articles from the special program on algebraic and topological )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(dynamics and a workshop on dynamical systems held at the Max-Planck Institute )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(\(Bonn, Germany\). It reflects the extraordinary vitality of dynamical systems in its )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(interaction with a broad range of mathematical subjects. Topics covered in the )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(book include asymptotic geometric analysis, transformation groups, arithmetic )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(dynamics, complex dynamics, symbolic dynamics, statistical properties of )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(dynamical systems, and the theory of entropy and chaos. The book is suitable for )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(graduate students and researchers interested in dynamical systems.)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Applied Algebraic Dynamics)] TJ ET
BT 211.400 354.196 Td /F1 14.2 Tf [( Vladimir Anashin 2009-06-02 This monograph )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(presents recent developments of the theory of algebraic dynamical systems and )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(their applications to computer sciences, cryptography, cognitive sciences, )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(psychology, image analysis, and numerical simulations. The most important )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(mathematical results presented in this book are in the fields of ergodicity, p-adic )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(numbers, and noncommutative groups. For students and researchers working on )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(the theory of dynamical systems, algebra, number theory, measure theory, )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(computer sciences, cryptography, and image analysis.)] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 235.938 215.002 Td /F1 14.2 Tf [( Joseph H. Silverman 2010-11-19 The theory of )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(elliptic curves is distinguished by its long history and by the diversity of the )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(methods that have been used in its study. This book treats the arithmetic approach )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(in its modern formulation, through the use of basic algebraic number theory and )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(algebraic geometry. Following a brief discussion of the necessary algebro-)] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(geometric results, the book proceeds with an exposition of the geometry and the )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(formal group of elliptic curves, elliptic curves over finite fields, the complex )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(numbers, local fields, and global fields. Final chapters deal with integral and )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(rational points, including Siegels theorem and explicit computations for the curve Y )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(= X + DX, while three appendices conclude the whole: Elliptic Curves in )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(Characteristics 2 and 3, Group Cohomology, and an overview of more advanced )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(topics.)] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Advanced Topics in the Arithmetic of Elliptic Curves)] TJ ET
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BT 359.500 336.796 Td /F1 14.2 Tf [( Joseph H. Silverman 2013-12-)] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(01 In the introduction to the first volume of The Arithmetic of Elliptic Curves )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(\(Springer-Verlag, 1986\), I observed that "the theory of elliptic curves is rich, varied, )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(and amazingly vast," and as a consequence, "many important topics had to be )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(omitted." I included a brief introduction to ten additional topics as an appendix to )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(the first volume, with the tacit understanding that eventually there might be a )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(second volume containing the details. You are now holding that second volume. it )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(turned out that even those ten topics would not fit Unfortunately, into a single book, )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(so I was forced to make some choices. The following material is covered in this )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(fields. VI. Neron's theory of canonical local height functions.)] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(Mathematics of Complexity and Dynamical Systems)] TJ ET
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34.016 90.856 m 361.851 90.856 l S
BT 361.851 93.207 Td /F1 14.2 Tf [( Robert A. Meyers 2011-10-05 )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(Mathematics of Complexity and Dynamical Systems is an authoritative reference )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(to the basic tools and concepts of complexity, systems theory, and dynamical )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(systems from the perspective of pure and applied mathematics. Complex systems )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(are systems that comprise many interacting parts with the ability to generate a new )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(quality of collective behavior through self-organization, e.g. the spontaneous )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(formation of temporal, spatial or functional structures. These systems are often )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(characterized by extreme sensitivity to initial conditions as well as emergent )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(behavior that are not readily predictable or even completely deterministic. The )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(more than 100 entries in this wide-ranging, single source work provide a )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(comprehensive explication of the theory and applications of mathematical )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(complexity, covering ergodic theory, fractals and multifractals, dynamical systems, )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(perturbation theory, solitons, systems and control theory, and related topics. )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(Mathematics of Complexity and Dynamical Systems is an essential reference for )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(all those interested in mathematical complexity, from undergraduate and graduate )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(students up through professional researchers.)] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(Advances in Non-Archimedean Analysis)] TJ ET
BT 287.438 145.405 Td /F1 14.2 Tf [( Helge Glöckner 2016-05-20 This volume )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(contains the Proceedings of the 13th International Conference on p-adic )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(Paderborn, Germany. The articles included in this book feature recent )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(developments in various areas of non-Archimedean analysis, non-Archimedean )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(functional analysis, representation theory, number theory, non-Archimedean )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(dynamical systems and applications. Through a combination of new research )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(articles and survey papers, this book provides the reader with an overview of )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(current developments and techniques in non-Archimedean analysis as well as a )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(broad knowledge of some of the sub-areas of this exciting and fast-developing )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(research area.)] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(Ultrametric Pseudodifferential Equations and Applications)] TJ ET
BT 396.749 284.599 Td /F1 14.2 Tf [( Andrei Yu. Khrennikov )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(2018-04-26 Starting from physical motivations and leading to practical )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(applications, this book provides an interdisciplinary perspective on the cutting edge )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(of ultrametric pseudodifferential equations. It shows the ways in which these )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(equations link different fields including mathematics, engineering, and geophysics. )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(In particular, the authors provide a detailed explanation of the geophysical )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(applications of p-adic diffusion equations, useful when modeling the flows of liquids )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(through porous rock. p-adic wavelets theory and p-adic pseudodifferential )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(equations are also presented, along with their connections to mathematical )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(physics, representation theory, the physics of disordered systems, probability, )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(number theory, and p-adic dynamical systems. Material that was previously spread )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(across many articles in journals of many different fields is brought together here, )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(including recent work on the van der Put series technique. This book provides an )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(excellent snapshot of the fascinating field of ultrametric pseudodifferential )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(equations, including their emerging applications and currently unsolved problems.)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Ergodic Theory)] TJ ET
BT 130.631 354.196 Td /F1 14.2 Tf [( Manfred Einsiedler 2010-09-11 This text is a rigorous introduction )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(to ergodic theory, developing the machinery of conditional measures and )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(expectations, mixing, and recurrence. Beginning by developing the basics of )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(ergodic theory and progressing to describe some recent applications to number )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(theory, this book goes beyond the standard texts in this topic. Applications include )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(theorem, the connection between the continued fraction map and the modular )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(a view towards Number Theory will appeal to mathematicians with some standard )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(background in measure theory and functional analysis. No background in ergodic )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(theory or Lie theory is assumed, and a number of exercises and hints to problems )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(are included, making this the perfect companion for graduate students and )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(researchers in ergodic theory, homogenous dynamics or number theory.)] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. )] TJ ET
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34.016 125.654 m 525.854 125.654 l S
BT 34.016 110.606 Td /F1 14.2 Tf [(Oxtoby)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 108.255 m 79.160 108.255 l S
BT 79.160 110.606 Td /F1 14.2 Tf [( Joseph Auslander 2016-11-29 This volume contains the proceedings of )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Williams Ergodic Theory Conference, held from July 27–29, 2012, at Williams )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(College; and the AMS Special Session on Ergodic Theory and Symbolic )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Dynamics, held from January 17–18, 2014, in Baltimore, MD. This volume contains )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(articles covering a variety of topics in measurable, symbolic and complex )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(dynamics. It also includes a survey article on the life and work of John Oxtoby, )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(providing a source of information about the many ways Oxtoby's work influenced )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(mathematical thought in this and other fields.)] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Dynamical Systems)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 264.848 m 159.116 264.848 l S
BT 159.116 267.199 Td /F1 14.2 Tf [( George David Birkhoff 2018-11-10 This work has been )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(selected by scholars as being culturally important and is part of the knowledge )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(base of civilization as we know it. This work is in the public domain in the United )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(States of America, and possibly other nations. Within the United States, you may )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(freely copy and distribute this work, as no entity \(individual or corporate\) has a )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(copyright on the body of the work. Scholars believe, and we concur, that this work )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(is important enough to be preserved, reproduced, and made generally available to )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(the public. To ensure a quality reading experience, this work has been proofread )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(and republished using a format that seamlessly blends the original graphical )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(elements with text in an easy-to-read typeface. We appreciate your support of the )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(preservation process, and thank you for being an important part of keeping this )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(knowledge alive and relevant.)] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Dynamics in One Non-Archimedean Variable)] TJ ET
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BT 317.519 58.408 Td /F1 14.2 Tf [( Robert L. Benedetto 2019-03-05 The )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(theory of complex dynamics in one variable, initiated by Fatou and Julia in the )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(early twentieth century, concerns the iteration of a rational function acting on the )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Riemann sphere. Building on foundational investigations of p-adic dynamics in the )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(late twentieth century, dynamics in one non-archimedean variable is the analogous )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(theory over non-archimedean fields rather than over the complex numbers. It is )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(also an essential component of the number-theoretic study of arithmetic dynamics. )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(This textbook presents the fundamentals of non-archimedean dynamics, including )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(a unified exposition of Rivera-Letelier's classification theorem, as well as results on )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(wandering domains, repelling periodic points, and equilibrium measures. The )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(Berkovich projective line, which is the appropriate setting for the associated Fatou )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(and Julia sets, is developed from the ground up, as are relevant results in non-)] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(archimedean analysis. The presentation is accessible to graduate students with )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(only first-year courses in algebra and analysis under their belts, although some )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(previous exposure to non-archimedean fields, such as the p-adic numbers, is )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(recommended. The book should also be a useful reference for more advanced )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(students and researchers in arithmetic and non-archimedean dynamics.)] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(Moduli Spaces and Arithmetic Dynamics)] TJ ET
BT 289.005 93.207 Td /F1 14.2 Tf [( Joseph H. Silverman )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(Potential Theory and Dynamics on the Berkovich Projective Line)] TJ ET
BT 439.514 75.808 Td /F1 14.2 Tf [( Matthew Baker )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(2010-03-10 The purpose of this book is to develop the foundations of potential )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(theory and rational dynamics on the Berkovich projective line over an arbitrary )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(complete, algebraically closed non-Archimedean field. In addition to providing a )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(concrete and ``elementary'' introduction to Berkovich analytic spaces and to )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(potential theory and rational iteration on the Berkovich line, the book contains )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(applications to arithmetic geometry and arithmetic dynamics. A number of results )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(in the book are new, and most have not previously appeared in book form. Three )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(appendices--on analysis, $\\mathbb{R}$-trees, and Berkovich's general theory of )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(analytic spaces--are included to make the book as self-contained as possible. The )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(authors first give a detailed description of the topological structure of the Berkovich )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(projective line and then introduce the Hsia kernel, the fundamental kernel for )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(potential theory. Using the theory of metrized graphs, they define a Laplacian )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(operator on the Berkovich line and construct theories of capacities, harmonic and )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(subharmonic functions, and Green's functions, all of which are strikingly similar to )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(their classical complex counterparts. After developing a theory of multiplicities for )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(rational functions, they give applications to non-Archimedean dynamics, including )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(local and global equidistribution theorems, fixed point theorems, and Berkovich )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(space analogues of many fundamental results from the classical Fatou-Julia theory )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(of rational iteration. They illustrate the theory with concrete examples and exposit )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Rivera-Letelier's results concerning rational dynamics over the field of $p$-adic )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(complex numbers. They also establish Berkovich space versions of arithmetic )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(results such as the Fekete-Szego theorem and Bilu's equidistribution theorem.)] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Frontiers in Complex Dynamics)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 334.445 m 231.962 334.445 l S
BT 231.962 336.796 Td /F1 14.2 Tf [( Araceli Bonifant 2014-03-16 John Milnor, best )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(known for his work in differential topology, K-theory, and dynamical systems, is )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(one of only three mathematicians to have won the Fields medal, the Abel prize, )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(and the Wolf prize, and is the only one to have received all three of the Leroy P. )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Steele prizes. In honor of his eightieth birthday, this book gathers together surveys )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(and papers inspired by Milnor's work, from distinguished experts examining not )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(only holomorphic dynamics in one and several variables, but also differential )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(geometry, entropy theory, and combinatorial group theory. The book contains the )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(last paper written by William Thurston, as well as a short paper by John Milnor )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(himself. Introductory sections put the papers in mathematical and historical )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(perspective, color figures are included, and an index facilitates browsing. This )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(collection will be useful to students and researchers for decades to come. The )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-)] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(Verjovsky.)] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(Fifth International Congress of Chinese Mathematicians)] TJ ET
BT 384.865 301.998 Td /F1 14.2 Tf [( Lizhen Ji 2012 This two-)] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(part volume represents the proceedings of the Fifth International Congress of )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(The Congress brought together eminent Chinese and overseas mathematicians to )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(discuss the latest developments in pure and applied mathematics. Included are 60 )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(papers based on lectures given at the conference.)] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(The Dynamical Mordell–Lang Conjecture)] TJ ET
BT 292.183 197.602 Td /F1 14.2 Tf [( Jason P. Bell 2016-04-20 The Dynamical )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(the context of arithmetic dynamics. It predicts the behavior of the orbit of a point x )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(under the action of an endomorphism f of a quasiprojective complex variety X. )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(More precisely, it claims that for any point x in X and any subvariety V of X, the set )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(of indices n such that the n-th iterate of x under f lies in V is a finite union of )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(arithmetic progressions. In this book the authors present all known results about )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(the Dynamical Mordell-Lang Conjecture, focusing mainly on a p-adic approach )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(which provides a parametrization of the orbit of a point under an endomorphism of )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(a variety.)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(The Arithmetic of Polynomial Dynamical Pairs)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 351.844 m 322.250 351.844 l S
BT 322.250 354.196 Td /F1 14.2 Tf [( Charles Favre 2022-06-14 New )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(mathematical research in arithmetic dynamics In The Arithmetic of Polynomial )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(research in the field of arithmetic dynamics. Specifically, the authors study one-)] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(dimensional algebraic families of pairs given by a polynomial with a marked point. )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Combining tools from arithmetic geometry and holomorphic dynamics, they prove )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(an “unlikely intersection” statement for such pairs, thereby demonstrating strong )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(rigidity features for them. They further describe one-dimensional families in the )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(moduli space of polynomials containing infinitely many postcritically finite )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(parameters, proving the dynamical André-Oort conjecture for curves in this )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(context, originally stated by Baker and DeMarco. This is a reader-friendly invitation )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(to a new and exciting research area that brings together sophisticated tools from )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(many branches of mathematics.)] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(Number Theory Revealed: A Masterclass)] TJ ET
BT 294.548 128.005 Td /F1 14.2 Tf [( Andrew Granville 2020-09-23 Number )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(Theory Revealed: A Masterclass acquaints enthusiastic students with the “Queen )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(of Mathematics”. The text offers a fresh take on congruences, power residues, )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(quadratic residues, primes, and Diophantine equations and presents hot topics like )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(cryptography, factoring, and primality testing. Students are also introduced to )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(modern twists on traditional questions like the values represented by binary )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(edition contains many additional chapters and appendices not found in Number )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(Theory Revealed: An Introduction, highlighting beautiful developments and )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(inspiring other subjects in mathematics \(like algebra\). This allows instructors to )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(tailor a course suited to their own \(and their students'\) interests. There are new yet )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(accessible topics like the curvature of circles in a tiling of a circle by circles, the )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(latest discoveries on gaps between primes, a new proof of Mordell's Theorem for )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(congruent elliptic curves, and a discussion of the $abc$-conjecture including its )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(proof for polynomials. About the Author: Andrew Granville is the Canada Research )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(Chair in Number Theory at the University of Montreal and professor of )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(mathematics at University College London. He has won several international )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(and the 2019 Halmos-Ford Prize, and is the author of Prime Suspects \(Princeton )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(University Press, 2019\), a beautifully illustrated graphic novel murder mystery that )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(explores surprising connections between the anatomies of integers and of )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(permutations.)] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Dynamical Systems and Ergodic Theory)] TJ ET
BT 287.423 58.408 Td /F1 14.2 Tf [( Mark Pollicott 1998-01-29 This book is an )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(introduction to topological dynamics and ergodic theory. It is divided into a number )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(of relatively short chapters with the intention that each may be used as a )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(component of a lecture course tailored to the particular audience. The authors )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(provide a number of applications, principally to number theory and arithmetic )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(progressions \(through Van der Waerden's theorem and Szemerdi's theorem\). This )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(text is suitable for advanced undergraduate and beginning graduate students.)] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Women in Numbers Europe II)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 264.848 m 221.702 264.848 l S
BT 221.702 267.199 Td /F1 14.2 Tf [( Irene I. Bouw 2018-06-01 Inspired by the )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(September 2016 conference of the same name, this second volume highlights )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(recent research in a wide range of topics in contemporary number theory and )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(arithmetic geometry. Research reports from projects started at the conference, )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(expository papers describing ongoing research, and contributed papers from )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(women number theorists outside the conference make up this diverse volume. )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(Topics cover a broad range of topics such as arithmetic dynamics, failure of local-)] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(global principles, geometry in positive characteristics, and heights of algebraic )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(integers. The use of tools from algebra, analysis and geometry, as well as )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(computational methods exemplifies the wealth of techniques available to modern )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(researchers in number theory. Exploring connections between different branches )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(of mathematics and combining different points of view, these papers continue the )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(tradition of supporting and highlighting the contributions of women number )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(theorists at a variety of career stages. Perfect for students and researchers )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(interested in the field, this volume provides an easily accessible introduction and )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(has the potential to inspire future work.)] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(Dynamics: Topology and Numbers)] TJ ET
BT 252.582 319.397 Td /F1 14.2 Tf [( Pieter Moree 2020-02-12 This volume contains )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(the proceedings of the conference Dynamics: Topology and Numbers, held from )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany.? The )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(papers cover diverse fields of mathematics with a unifying theme of relation to )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(dynamical systems. These include arithmetic geometry, flat geometry, complex )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(dynamics, graph theory, relations to number theory, and topological dynamics. The )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(volume is dedicated to the memory of Sergiy Kolyada and also contains some )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(personal accounts of his life and mathematics.)] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(Berkovich Spaces and Applications)] TJ ET
BT 256.572 180.203 Td /F1 14.2 Tf [( Antoine Ducros 2014-11-21 We present an )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(introduction to Berkovich’s theory of non-archimedean analytic spaces that )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(emphasizes its applications in various fields. The first part contains surveys of a )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(foundational nature, including an introduction to Berkovich analytic spaces by M. )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(on the topology of some Berkovich spaces. The second part focuses on )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(applications to geometry. A second text by A. Ducros contains a new proof of the )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(fact that the higher direct images of a coherent sheaf under a proper map are )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(coherent, and B. Rémy, A. Thuillier and A. Werner provide an overview of their )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(work on the compactification of Bruhat-Tits buildings using Berkovich analytic )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(geometry. The third and final part explores the relationship between non-)] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(archimedean geometry and dynamics. A contribution by M. Jonsson contains a )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(thorough discussion of non-archimedean dynamical systems in dimension 1 and 2. )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(Finally a survey by J.-P. Otal gives an account of Morgan-Shalen's theory of )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(compactification of character varieties. This book will provide the reader with )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(enough material on the basic concepts and constructions related to Berkovich )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(spaces to move on to more advanced research articles on the subject. We also )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(hope that the applications presented here will inspire the reader to discover new )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(settings where these beautiful and intricate objects might arise.)] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(An Introduction To Chaotic Dynamical Systems)] TJ ET
BT 331.784 180.203 Td /F1 14.2 Tf [( Robert Devaney 2018-03-09 The )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(study of nonlinear dynamical systems has exploded in the past 25 years, and )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(Robert L. Devaney has made these advanced research developments accessible )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(to undergraduate and graduate mathematics students as well as researchers in )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(other disciplines with the introduction of this widely praised book. In this second )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(edition of his best-selling text, Devaney includes new material on the orbit diagram )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(fro maps of the interval and the Mandelbrot set, as well as striking color photos )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(illustrating both Julia and Mandelbrot sets. This book assumes no prior )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(acquaintance with advanced mathematical topics such as measure theory, )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(topology, and differential geometry. Assuming only a knowledge of calculus, )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Devaney introduces many of the basic concepts of modern dynamical systems )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(theory and leads the reader to the point of current research in several areas.)] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(An Experimental Introduction to Number Theory)] TJ ET
BT 335.759 301.998 Td /F1 14.2 Tf [( Benjamin Hutz 2018-04-17 This )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(book presents material suitable for an undergraduate course in elementary number )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(theory from a computational perspective. It seeks to not only introduce students to )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(the standard topics in elementary number theory, such as prime factorization and )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(modular arithmetic, but also to develop their ability to formulate and test precise )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(conjectures from experimental data. Each topic is motivated by a question to be )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(answered, followed by some experimental data, and, finally, the statement and )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(proof of a theorem. There are numerous opportunities throughout the chapters and )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(exercises for the students to engage in \(guided\) open-ended exploration. At the )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(end of a course using this book, the students will understand how mathematics is )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(developed from asking questions to gathering data to formulating and proving )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(theorems. The mathematical prerequisites for this book are few. Early chapters )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(contain topics such as integer divisibility, modular arithmetic, and applications to )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(cryptography, while later chapters contain more specialized topics, such as )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Diophantine approximation, number theory of dynamical systems, and number )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(theory with polynomials. Students of all levels will be drawn in by the patterns and )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(relationships of number theory uncovered through data driven exploration.)] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Dynamical Systems, Number Theory and Applications)] TJ ET
BT 374.534 336.796 Td /F1 14.2 Tf [( Thomas Hagen 2016-01-25 )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(This volume consists of a selection of research-type articles on dynamical )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(systems, evolution equations, analytic number theory and closely related topics. A )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(strong emphasis is on a fair balance between theoretical and more applied work, )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(thus spanning the chasm between abstract insight and actual application. Several )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(of the articles are expected to be in the intersection of dynamical systems theory )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(and number theory. One article will likely relate the topics presented to the )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(academic achievements and interests of Prof. Leutbecher and shed light on )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(common threads among all the contributions. Contents:PrefaceBiographical Note )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(on Armin Leutbecher \(S Walcher\)Das Jahr 1934 ... \(J Fischer\)Explicit Expressions )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(for Equivariant Minimal Lagrangian Surfaces \(J F Dorfmeister & H Ma\)Rational )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(Parameter Rays of the Multibrot Sets \(D Eberlein, S Mukherjee & D )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(Schleicher\)The Matovich-Pearson Equations Revisited \(T Hagen\)Diffeomorphisms )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(with Stable Manifolds as Basin Boundaries \(S Hayes & Ch Wolf\)A New Type of )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(Functional Equations of Euler Products \(B Heim\)The Hexagonal Lattice and the )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(Epstein Zeta Function \(A Henn\)On Putative q-Analogues of the Fano Plane \(Th )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Honold & M Kiermaier\)Integral Orthogonal Groups \(A Krieg\)The Role of Fourier )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(Analysis in X-Ray Crystallography \(F Rupp & J Scheurle\)An Elementary Proof for )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Joint Continuity of Semiflows \(S Schmitz\)A Convergent String Method \(H )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Schwetlick & J Zimmer\)Variational Symmetries and Pluri-Lagrangian Systems \(Y B )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(Suris\) Readership: Researchers in algebra and number theory, dynamical systems )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(and analysis and differential equations. Key Features:This versatile book covers )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(state-of-the art work in dynamical systems, analytic number theory and applied )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(analysisIt appeals to a wide audience due to its broad range of topics, highlighting )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(both the breadth and the depth of modern analytical work without losing sight of a )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(common coreKeywords:Dynamical Systems;Evolution Equations;Number )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(Theory;Differential Geometry)] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(Nilpotent Structures in Ergodic Theory)] TJ ET
BT 274.769 197.602 Td /F1 14.2 Tf [( Bernard Host 2018-12-12 Nilsystems play a )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(key role in the structure theory of measure preserving systems, arising as the )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(natural objects that describe the behavior of multiple ergodic averages. This book )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(is a comprehensive treatment of their role in ergodic theory, covering development )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(of the abstract theory leading to the structural statements, applications of these )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(results, and connections to other fields. Starting with a summary of the relevant )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(dynamical background, the book methodically develops the theory of cubic )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(structures that give rise to nilpotent groups and reviews results on nilsystems and )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(their properties that are scattered throughout the literature. These basic )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(ingredients lay the groundwork for the ergodic structure theorems, and the book )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(includes numerous formulations of these deep results, along with detailed proofs. )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(The structure theorems have many applications, both in ergodic theory and in )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(related fields; the book develops the connections to topological dynamics, )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(combinatorics, and number theory, including an overview of the role of nilsystems )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(in each of these areas. The final section is devoted to applications of the structure )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(theory, covering numerous convergence and recurrence results. The book is )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(aimed at graduate students and researchers in ergodic theory, along with those )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(who work in the related areas of arithmetic combinatorics, harmonic analysis, and )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(number theory.)] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(Research Directions in Number Theory)] TJ ET
BT 280.284 197.602 Td /F1 14.2 Tf [( Jennifer S. Balakrishnan 2019-08-01 )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(These proceedings collect several number theory articles, most of which were )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(written in connection to the workshop WIN4: Women in Numbers, held in August )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(2017, at the Banff International Research Station \(BIRS\) in Banff, Alberta, Canada. )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(It collects papers disseminating research outcomes from collaborations initiated )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(during the workshop as well as other original research contributions involving )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(participants of the WIN workshops. The workshop and this volume are part of the )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(WIN network, aimed at highlighting the research of women and gender minorities )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(in number theory as well as increasing their participation and boosting their )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(potential collaborations in number theory and related fields.)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Dynamical Systems and Ergodic Theory)] TJ ET
BT 287.423 354.196 Td /F1 14.2 Tf [( Mark Pollicott 1998-01-29 Essentially a )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(self-contained text giving an introduction to topological dynamics and ergodic )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(theory.)] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(Fractals in pure mathematics)] TJ ET
BT 216.943 284.599 Td /F1 14.2 Tf [( David Carfi 2013-10-22 This volume contains the )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(proceedings from three conferences: the PISRS 2011 International Conference on )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-)] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(cover fractal geometry \(and some aspects of dynamical systems\) in pure )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(mathematics. Also included are articles discussing a variety of connections of )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(fractal geometry with other fields of mathematics, including probability theory, )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(number theory, geometric measure theory, partial differential equations, global )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(analysis on non-smooth spaces, harmonic analysis and spectral geometry. The )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(companion volume \(Contemporary Mathematics, Volume 601\) focuses on )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(applications of fractal geometry and dynamical systems to other sciences, )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(including physics, engineering, computer science, economics, and finance.)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Applied Algebraic Dynamics)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 351.844 m 211.400 351.844 l S
BT 211.400 354.196 Td /F1 14.2 Tf [( Vladimir Anashin 2009 This monograph presents )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(recent developments of the theory of algebraic dynamical systems and their )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(applications to computer sciences, cryptography, cognitive sciences, psychology, )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(image analysis, and numerical simulations. The most important mathematical )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(results presented in this book are in the fields of ergodicity, p-adic numbers, and )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(noncommutative groups. For students and researchers working on the theory of )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(dynamical systems, algebra, number theory, measure theory, computer sciences, )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(cryptography, and image analysis.)] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(Introduction to Dynamics)] TJ ET
BT 190.823 215.002 Td /F1 14.2 Tf [( I. C. Percival 1982-12-02 In this book, the subject of )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(dynamics is introduced at undergraduate level through the elementary qualitative )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(theory of differential equations, the geometry of phase curves and the theory of )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(stability. The text is supplemented with over a hundred exercises.)] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(Dynamical Numbers: Interplay between Dynamical Systems and Number Theory)] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(S. F. Koli?a?da 2010 This volume contains papers from the special program and )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(international conference on Dynamical Numbers which were held at the Max-)] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(Planck Institute in Bonn, Germany in 2009. These papers reflect the extraordinary )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(range and depth of the interactions between ergodic theory and dynamical )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(systems and number theory. Topics covered in the book include stationary )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(measures, systems of enumeration, geometrical methods, spectral methods, and )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(algebraic dynamical systems.)] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Operator Theoretic Aspects of Ergodic Theory)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 334.445 m 324.673 334.445 l S
BT 324.673 336.796 Td /F1 14.2 Tf [( Tanja Eisner 2015-11-18 Stunning )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(systematic introduction to classical ergodic theory using the tools of operator )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(theory. Assuming no prior exposure to ergodic theory, this book provides a modern )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(foundation for introductory courses on ergodic theory, especially for students or )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(researchers with an interest in functional analysis. While basic analytic notions and )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(results are reviewed in several appendices, more advanced operator theoretic )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(topics are developed in detail, even beyond their immediate connection with )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(ergodic theory. As a consequence, the book is also suitable for advanced or )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(special-topic courses on functional analysis with applications to ergodic theory. )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(Topics include: • an intuitive introduction to ergodic theory • an introduction to the )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(basic notions, constructions, and standard examples of topological dynamical )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(systems • Koopman operators, Banach lattices, lattice and algebra )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(homomorphisms, and the Gelfand–Naimark theorem • measure-preserving )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(of notions of isomorphism for measure-preserving systems • Markov operators, )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(and the related concept of a factor of a measure preserving system • compact )] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(groups and semigroups, and a powerful tool in their study, the Jacobs–de )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(Leeuw–Glicksberg decomposition • an introduction to the spectral theory of )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(dynamical systems, the theorems of Furstenberg and Weiss on multiple )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(recurrence, and applications of dynamical systems to combinatorics \(theorems of )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, )] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(theorems of Roth and Furstenberg–Sárközy\) Beyond its use in the classroom, )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation )] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(for doing research at the intersection of ergodic theory and operator theory)] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(Handbook of Teichmüller Theory)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 212.650 m 240.712 212.650 l S
BT 240.712 215.002 Td /F1 14.2 Tf [( Athanase Papadopoulos 2007 )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(Trilogy of Numbers and Arithmetic - Book 1: History of Numbers and Arithmetic: An )] TJ ET
0.285 w 0 J [ ] 0 d
34.016 195.251 m 560.639 195.251 l S
BT 34.016 180.203 Td /F1 14.2 Tf [(Information Perspective)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 177.852 m 183.698 177.852 l S
BT 183.698 180.203 Td /F1 14.2 Tf [( Mark Burgin )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(Advances in Ultrametric Analysis)] TJ ET
BT 241.481 162.804 Td /F1 14.2 Tf [( Alain Escassut 2018-03-26 Articles included in )] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(this book feature recent developments in various areas of non-Archimedean )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(analysis: summation of -adic series, rational maps on the projective line over , non-)] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(convex base, non-compact Trace class operators and Schatten-class operators in -)] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(adic Hilbert spaces, algebras of strictly differentiable functions, inverse function )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(commutative non-unital Banach rings, classes of non-Archimedean Köthe spaces, -)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(adic Nevanlinna theory and applications, and sub-coordinate representation of -)] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(adic functions. Moreover, a paper on the history of -adic analysis with a )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(comparative summary of non-Archimedean fields is presented. Through a )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(combination of new research articles and a survey paper, this book provides the )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(reader with an overview of current developments and techniques in non-)] TJ ET
BT 34.016 267.199 Td /F1 14.2 Tf [(Archimedean analysis as well as a broad knowledge of some of the sub-areas of )] TJ ET
BT 34.016 249.800 Td /F1 14.2 Tf [(this exciting and fast-developing research area.)] TJ ET
BT 34.016 232.401 Td /F1 14.2 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 235.938 232.401 Td /F1 14.2 Tf [( Joseph H. Silverman 2009-04-20 The theory of )] TJ ET
BT 34.016 215.002 Td /F1 14.2 Tf [(elliptic curves is distinguished by its long history and by the diversity of the )] TJ ET
BT 34.016 197.602 Td /F1 14.2 Tf [(methods that have been used in its study. This book treats the arithmetic approach )] TJ ET
BT 34.016 180.203 Td /F1 14.2 Tf [(in its modern formulation, through the use of basic algebraic number theory and )] TJ ET
BT 34.016 162.804 Td /F1 14.2 Tf [(algebraic geometry. Following a brief discussion of the necessary algebro-)] TJ ET
BT 34.016 145.405 Td /F1 14.2 Tf [(geometric results, the book proceeds with an exposition of the geometry and the )] TJ ET
BT 34.016 128.005 Td /F1 14.2 Tf [(formal group of elliptic curves, elliptic curves over finite fields, the complex )] TJ ET
BT 34.016 110.606 Td /F1 14.2 Tf [(numbers, local fields, and global fields. Final chapters deal with integral and )] TJ ET
BT 34.016 93.207 Td /F1 14.2 Tf [(rational points, including Siegels theorem and explicit computations for the curve Y )] TJ ET
BT 34.016 75.808 Td /F1 14.2 Tf [(= X + DX, while three appendices conclude the whole: Elliptic Curves in )] TJ ET
BT 34.016 58.408 Td /F1 14.2 Tf [(Characteristics 2 and 3, Group Cohomology, and an overview of more advanced )] TJ ET
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BT 34.016 371.595 Td /F1 14.2 Tf [(topics.)] TJ ET
BT 34.016 354.196 Td /F1 14.2 Tf [(Chaos and Dynamical Systems)] TJ ET
BT 231.991 354.196 Td /F1 14.2 Tf [( David Feldman 2019-08-06 The author presents )] TJ ET
BT 34.016 336.796 Td /F1 14.2 Tf [(an accessible, clear introduction to dynamical systems and chaos theory, )] TJ ET
BT 34.016 319.397 Td /F1 14.2 Tf [(important and exciting areas that have shaped many scientific fields. While the )] TJ ET
BT 34.016 301.998 Td /F1 14.2 Tf [(rules governing dynamical systems are well-specified and simple, the behavior of )] TJ ET
BT 34.016 284.599 Td /F1 14.2 Tf [(many dynamical systems is remarkably complex.)] TJ ET
BT 36.266 239.704 Td /F1 8.0 Tf [(the-arithmetic-of-dynamical-systems-graduate-texts-in-mathematics-241-)] TJ ET
BT 36.266 229.936 Td /F1 8.0 Tf [(by-silverman-joseph-h-author-jun-06-2007-hardcover)] TJ ET
BT 308.670 235.028 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 373.582 234.820 Td /F1 8.0 Tf [(coloringplanet.com)] TJ ET
BT 440.718 235.028 Td /F1 8.0 Tf [( on September 25, 2022 by guest)] TJ ET
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