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# π Smooth Ergodic Theory of Random Dynamical Systems by Pei-Dong Liu, Min Qian β download pdf

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This book studies ergodic-theoretic aspects of random dynamical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynamical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.

## About book:

## About file:

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- Series:
**Lecture Notes in Mathematics** - Author:
**Pei-Dong Liu, Min Qian** - Year:
**1995** - Publisher:
**Springer** - Language:
**English** - ISBN:
**9783540600046,3540600043**

- File size:
**7 014 579** - Format:
**djvu**

Security code:

The second of two volumes, Ergodic Theory and Dynamical Systems II concludes the results of the "Special Year on Ergodic Theory" held at the University of Maryland at College Park. Each volume contains a series of lectures by well-known specialist...

This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill. The articles in this volume cover several aspects of vibrant research i...

This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.This book contains a broad selection of topics and explores the fundamental ideas of the ...

This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapun...

This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute cont...

This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts ...

This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts ...

This book studies ergodic-theoretic aspects of random dynamical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of suc...

This book studies ergodic-theoretic aspects of random dynamical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of suc...