Smooth Ergodic Theory of Random Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Smooth Ergodic Theory of Random Dynamical Systems write by Pei-Dong Liu. This book was released on 2006-11-14. Smooth Ergodic Theory of Random Dynamical Systems available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Smooth Ergodic Theory of Random Dynamical Systems write by Pei-Dong Liu. This book was released on 2014-01-15. Smooth Ergodic Theory of Random Dynamical Systems available in PDF, EPUB and Kindle.
Random Dynamical Systems
Random Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Dynamical Systems write by Ludwig Arnold. This book was released on 2013-04-17. Random Dynamical Systems available in PDF, EPUB and Kindle. 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 detailed. Numerous instructive examples are treated analytically or numerically.
Introduction to Smooth Ergodic Theory
Introduction to Smooth Ergodic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Smooth Ergodic Theory write by Luís Barreira. This book was released on 2023-04-28. Introduction to Smooth Ergodic Theory available in PDF, EPUB and Kindle. 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 differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature, is also presented. There are more than 80 exercises. The book is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wishes to get a working knowledge of smooth ergodic theory and to learn how to use its tools. It can also be used as a source for special topics courses on nonuniform hyperbolicity. The only prerequisite for using this book is a basic knowledge of real analysis, measure theory, differential equations, and topology, although the necessary background definitions and results are provided. In this second edition, the authors improved the exposition and added more exercises to make the book even more student-oriented. They also added new material to bring the book more in line with the current research in dynamical systems.
Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems write by Bernold Fiedler. This book was released on 2012-12-06. Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems available in PDF, EPUB and Kindle. 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.
