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Köp båda 2 för 1049 krThis volume provides a systematic mathematical exposition of the conceptual problems of nonequilibrium statistical physics, such as entropy production, irreversibility, and ordered phenomena. Markov chains, diffusion processes, and hyperbolic dyna...
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 expone...
From the reviews: In the useful monograph under review the authors intend to assemble several topics in the classic ergodic theory of deterministic endomorphisms gathering the most important results available until the present time. should be of interest to mathematicians, postgraduate students and physicists working on this field. (Mrio Bessa, Mathematical Reviews, Issue 2010 m)
Preliminaries.- Margulis-Ruelle Inequality.- Expanding Maps.- Axiom A Endomorphisms.- Unstable and Stable Manifolds for Endomorphisms.- Pesin#x2019;s Entropy Formula for Endomorphisms.- SRB Measures and Pesin#x2019;s Entropy Formula for Endomorphisms.- Ergodic Property of Lyapunov Exponents.- Generalized Entropy Formula.- Exact Dimensionality of Hyperbolic Measures.