International Congress of Mathematicians: Dynamical Systems and Ergodic Theory

ICM 2018 - Rio

Dynamical systems and ergodic theory

Dynamical systems and ergodic theory

Geometry, Topology, and Dynamics in Negative Curvature

Dynamics and Analytic Number Theory

Combinatorics, Words and Symbolic Dynamics

Quasiconformal Surgery in Holomorphic Dynamics

Edited by C. S. Aravinda F. T. Farrell and J.-F. Lafont

Edited by Dzmitry Badziahin Alexander Gorodnik and Norbert Peyerimhoff

Edited by Valérie Berthé and Michel Rigo

Bodil Branner and Núria Fagella

Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics. Contains a wide variety of applications and illustrations.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

London Mathematical Society Lecture Note Series, 425 January 2016 228 x 152 mm 381pp 25 b/w illus.

978-1-107-52900-7 Paperback £60.99 / US$85.99

Thin Groups and Superstrong Approximation Edited by Emmanuel Breuillard and Hee Oh

This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.

Mathematical Sciences Research Institute Publications, 61 April 2014 234 x 156 mm 376pp 978-1-107-03685-7 Hardback £70.00 / US$107.00

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

London Mathematical Society Lecture Note Series, 437 November 2016 228 x 152 mm 340pp 10 b/w illus. 35 exercises 978-1-107-55237-1 Paperback £55.99 / US$78.99

Introduction to Dynamical Systems

Encyclopedia of Mathematics and its Applications, 159 March 2016 234 x 156 mm 496pp 135 b/w illus. 75 exercises 978-1-107-07702-7 Hardback £105.00 / US$163.00

Cambridge Studies in Advanced Mathematics, 141 January 2014 228 x 152 mm 428pp 30 b/w illus. 105 colour illus. 85 exercises 978-1-107-04291-9 Hardback £69.99 / US$105.00

Mathematical Tools for One-Dimensional Dynamics

Chaotic Dynamics

A broad introduction, perfect for a one-year graduate course.

Includes examples to motivate the theory and some remarkable applications.

Edson de Faria and Welington de Melo

This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.

November 2015 228 x 152 mm 256pp 35 b/w illus. 305 exercises 978-1-107-53894-8 Paperback £39.99 / US$60.99

Cambridge Studies in Advanced Mathematics, 115

Michael Brin and Garrett Stuck

Presents the major mathematical tools necessary for the study of complex dynamics.

October 2008 228 x 152 mm 208pp 56 exercises 978-0-521-88861-5 Hardback £57.00 / US$88.00

Fractals, Tilings, and Substitutions Geoffrey R. Goodson

Cambridge Mathematical Textbooks March 2017 253 x 177 mm 416pp 93 b/w illus. 435 exercises 978-1-107-11267-4 Hardback £55.00 / US$75.00

20% discount online at www.cambridge.org/ICM2018

Dynamical systems and ergodic theory

Discrete Systems and Integrability J. Hietarinta N. Joshi and F. W. Nijhoff

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

Cambridge Texts in Applied Mathematics, 54 September 2016 228 x 152 mm 458pp 68 b/w illus. 2 tables 98 exercises 978-1-107-66948-2 Paperback £35.99 / US$50.99

Optimal Control and Geometry: Integrable Systems

Reversibility in Dynamics and Group Theory

Velimir Jurdjevic

Anthony G. O’Farrell and Ian Short

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.

Cambridge Studies in Advanced Mathematics, 154

London Mathematical Society Lecture Note Series, 416

July 2016 228 x 152 mm 423pp 4 tables 978-1-107-11388-6 Hardback £59.99 / US$84.99

May 2015 228 x 152 mm 294pp 38 b/w illus. 11 tables 978-1-107-44288-7 Paperback £41.99 / US$58.99

Large Deviations and Metastability Enzo Olivieri and Maria Eulália Vares

Covers an area at intersection of probability theory and statistical mechanics.

Encyclopedia of Mathematics and its Applications, 100 February 2005 228 x 152 mm 528pp 37 b/w illus.

978-0-521-59163-8 Hardback £149.00 / US$273.00

Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations

Orthogonal Polynomials and Painlevé Equations

Lectures on Lyapunov Exponents

Walter Van Assche

Marcelo Viana

Marcelo Viana and Krerley Oliveira

Fractal Dimensions and Infinitely Many Attractors in Dynamics Jacob Palis and Floris Takens

A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises.

Covers the fundamental aspects of the classical theory and introduces significant recent developments. Based on the author’s graduate course.

Self-contained introductory textbook suitable for a variety of one- or two-semester courses.

Rich with examples, applications and exercises.

Australian Mathematical Society Lecture Series, 27

Cambridge Studies in Advanced Mathematics, 145

Cambridge Studies in Advanced Mathematics, 151

December 2017 228 x 152 mm 190pp 25 b/w illus.

978-1-108-44194-0 Paperback £29.99 / US$39.99

July 2014 228 x 152 mm 215pp 8 b/w illus. 105 exercises 978-1-107-08173-4 Hardback £42.99 / US$67.00

February 2016 228 x 152 mm 548pp 35 b/w illus. 410 exercises 978-1-107-12696-1 Hardback £83.99 / US$126.00

A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.

Cambridge Studies in Advanced Mathematics, 35 January 1995 228 x 152 mm 248pp 978-0-521-47572-3 Paperback £59.99 / US$99.99

Foundations of Ergodic Theory

20% discount online at www.cambridge.org/ICM2018

20% discount online at www.cambridge.org/ICM2018