Dynamical Systems and 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 Dynamical Systems and Ergodic Theory write by Mark Pollicott. This book was released on 2013-07-13. Dynamical Systems and Ergodic Theory available in PDF, EPUB and Kindle. Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.
Ergodic Theory and Dynamical Systems
Ergodic Theory and 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 and Dynamical Systems write by Yves Coudène. This book was released on 2016-11-10. Ergodic Theory and Dynamical Systems available in PDF, EPUB and Kindle. 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 subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
Dynamical Systems, Ergodic Theory and Applications
Dynamical Systems, Ergodic Theory and Applications - 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 Dynamical Systems, Ergodic Theory and Applications write by L.A. Bunimovich. This book was released on 2000-04-05. Dynamical Systems, Ergodic Theory and Applications available in PDF, EPUB and Kindle. 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.
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 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.
Ergodic Theory
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 Ergodic Theory write by Manfred Einsiedler. This book was released on 2010-09-11. Ergodic Theory available in PDF, EPUB and Kindle. This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
