Dynamical Systems Ergodic Theory And Applications

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Dynamical Systems Ergodic Theory And Applications

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Author : L.A. Bunimovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-05

Dynamical Systems Ergodic Theory And Applications written by L.A. Bunimovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-05 with Mathematics categories.

This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations.

Dynamical Systems

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Author : D. V. Anosov
language : en
Publisher: Springer
Release Date : 1988

Dynamical Systems written by D. V. Anosov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.

1. Ordinary differential equations and smooth dynamical systems by D.V. Anosov, V.I. Arnold (eds.). 2. Ergodic theory with applications to dynamical systems an d statistical mechanics by Ya. G. Sinai (ed.). 3. [without special title]. 4. S ymplectic geometry and its applications by V.I. Arnold, S.P. Novikov (eds.).

Dynamical Systems Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics

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Author :
language : en
Publisher:
Release Date : 1988

Dynamical Systems Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Celestial mechanics categories.

Dynamical Systems Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics

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Author :
language : en
Publisher:
Release Date : 1987

Dynamical Systems Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Celestial mechanics categories.

Dynamical Systems Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics

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Author :
language : en
Publisher:
Release Date : 1988

Dynamical Systems Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Celestial mechanics categories.

Dynamical Systems Ergodic Theory And Probability In Memory Of Kolya Chernov

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Author : Alexander M. Blokh
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-09-18

Dynamical Systems Ergodic Theory And Probability In Memory Of Kolya Chernov written by Alexander M. Blokh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Mathematics categories.

This volume contains the proceedings of the Conference on Dynamical Systems, Ergodic Theory, and Probability, which was dedicated to the memory of Nikolai Chernov, held from May 18–20, 2015, at the University of Alabama at Birmingham, Birmingham, Alabama. The book is devoted to recent advances in the theory of chaotic and weakly chaotic dynamical systems and its applications to statistical mechanics. The papers present new original results as well as comprehensive surveys.

Dynamical Systems Ii

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Author : Ya.G. Sinai
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Dynamical Systems Ii written by Ya.G. Sinai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.

Handbook Of Dynamical Systems

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Author : A. Katok
language : en
Publisher: Elsevier
Release Date : 2005-12-17

Handbook Of Dynamical Systems written by A. Katok and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-17 with Mathematics categories.

This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey "Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations).. Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.

Dynamics Ergodic Theory And Geometry

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Author : Boris Hasselblatt
language : en
Publisher: Cambridge University Press
Release Date : 2007-09-24

Dynamics Ergodic Theory And Geometry written by Boris Hasselblatt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-24 with Mathematics categories.

Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop titled 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have experienced substantial progress. One of the major surveys is on symplectic geometry, which is closely related to classical mechanics and an exciting addition to modern geometry. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this book fascinating. The book also includes a fifty-page commented problem list that takes the reader beyond the areas covered by the surveys, to inspire and guide further research.

Ergodic Theory Via Joinings

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Author : Eli Glasner
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-01-09

Ergodic Theory Via Joinings written by Eli Glasner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-09 with Mathematics categories.

This book introduces modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective. Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.