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Recent Trends in Ergodic Theory and Dynamical Systems

Recent Trends in Ergodic Theory and Dynamical Systems
Author: Siddhartha Bhattacharya
Publisher: American Mathematical Soc.
Total Pages: 272
Release: 2015-01-26
Genre: Mathematics
ISBN: 1470409313
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This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.

Ergodic Theory

Ergodic Theory
Author: Idris Assani
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 148
Release: 2016-06-20
Genre: Mathematics
ISBN: 3110460912
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This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike. Contents: Duality of the almost periodic and proximal relations Limit directions of a vector cocycle, remarks and examples Optimal norm approximation in ergodic theory The iterated Prisoner’s Dilemma: good strategies and their dynamics Lyapunov exponents for conservative twisting dynamics: a survey Takens’ embedding theorem with a continuous observable

Ergodic Theory

Ergodic Theory
Author: Cesar E. Silva
Publisher: Springer Nature
Total Pages: 707
Release: 2023-07-31
Genre: Mathematics
ISBN: 1071623885
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This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras

Topics in Ergodic Theory (PMS-44), Volume 44

Topics in Ergodic Theory (PMS-44), Volume 44
Author: Iakov Grigorevich Sinai
Publisher: Princeton University Press
Total Pages: 226
Release: 2017-03-14
Genre: Mathematics
ISBN: 1400887259
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This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby
Author: Joseph Auslander
Publisher: American Mathematical Soc.
Total Pages: 316
Release: 2016-11-29
Genre: Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Non-Archimedean Fatou and Julia sets
ISBN: 1470422999
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This volume contains the proceedings of three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the Williams Ergodic Theory Conference, held from July 27–29, 2012, at Williams College; and the AMS Special Session on Ergodic Theory and Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This volume contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby's work influenced mathematical thought in this and other fields.

Recent Trends in Dynamical Systems

Recent Trends in Dynamical Systems
Author: Andreas Johann
Publisher: Springer Science & Business Media
Total Pages: 628
Release: 2013-09-24
Genre: Mathematics
ISBN: 3034804512
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This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation - Geometric mechanics and control theory - Invariant manifolds, attractors and chaos - Fluid mechanics and elasticity - Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume.

Dynamical Systems and Ergodic Theory

Dynamical Systems and Ergodic Theory
Author: Mark Pollicott
Publisher: Cambridge University Press
Total Pages: 198
Release: 1998-01-29
Genre: Mathematics
ISBN: 9780521575997
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This book is an essentially self contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a masters level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der waerden's theorem and szemerdi's theorem).

Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
Author: Bernold Fiedler
Publisher: Springer Science & Business Media
Total Pages: 816
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642565891
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Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.