Smooth Ergodic Theory of Random Dynamical Systems

This book PDF is perfect for those who love Mathematics genre, written by Pei-Dong Liu and published by Springer which was released on 14 November 2006 with total hardcover pages 233. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Smooth Ergodic Theory of Random Dynamical Systems books below.

Smooth Ergodic Theory of Random Dynamical Systems
Smooth Ergodic Theory of Random Dynamical Systems
Author : Pei-Dong Liu
File Size : 45,5 Mb
Publisher : Springer
Language : English
Release Date : 14 November 2006
ISBN : 9783540492917
Pages : 233 pages
Get Book

Smooth Ergodic Theory of Random Dynamical Systems by Pei-Dong Liu Book PDF Summary

This book studies ergodic-theoretic aspects of random dynam- ical 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 dynam- ical 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.

Smooth Ergodic Theory of Random Dynamical Systems

Smooth Ergodic Theory of Random Dynamical Systems by Pei-Dong Liu,Min Qian

This book studies ergodic-theoretic aspects of random dynam- ical 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.

Get Book
Smooth Ergodic Theory of Random Dynamical Systems

Smooth Ergodic Theory of Random Dynamical Systems by Pei-Dong Liu,Min Qian

Download or read online Smooth Ergodic Theory of Random Dynamical Systems written by Pei-Dong Liu,Min Qian, published by Unknown which was released on 2014-01-15. Get Smooth Ergodic Theory of Random Dynamical Systems Books now! Available in PDF, ePub and Kindle.

Get Book
Random Dynamical Systems

Random Dynamical Systems by Ludwig Arnold

The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are

Get Book
Introduction to Smooth Ergodic Theory

Introduction to Smooth Ergodic Theory by Luís Barreira,Yakov Pesin

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 Lyapunov exponents and its applications to the stability theory of

Get Book
Smooth Ergodic Theory for Endomorphisms

Smooth Ergodic Theory for Endomorphisms by Min Qian,Jian-Sheng Xie,Shu Zhu

Ideal for researchers and graduate students, this volume sets out a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms. Its focus is on the relations between entropy, Lyapunov exponents and dimensions.

Get Book
Ergodic Theory Analysis and Efficient Simulation of Dynamical Systems

Ergodic Theory Analysis and Efficient Simulation of Dynamical Systems by Bernold Fiedler

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.

Get Book
Ergodic Theory of Random Transformations

Ergodic Theory of Random Transformations by Yuri Kifer

Ergodic theory of dynamical systems i.e., the qualitative analysis of iterations of a single transformation is nowadays a well developed theory. In 1945 S. Ulam and J. von Neumann in their short note [44] suggested to study ergodic theorems for the more general situation when one applies in turn different transforma

Get Book
Local Entropy Theory of a Random Dynamical System

Local Entropy Theory of a Random Dynamical System by Anthony H. Dooley, Guohua Zhang

In this paper the authors extend the notion of a continuous bundle random dynamical system to the setting where the action of R or N is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of random continuous

Get Book