Smooth Ergodic Theory for Endomorphisms (Paperback, 2009 ed.)

Smooth ergodic theory of deterministic dynamical systems deals with the study of dynamical behaviors relevant to certain invariant measures under differentiable mappingsor ows. The relevance of invariantmeasures is that they describe the f- quencies of visits for an orbit and hence they give a probabilistic description of the evolution of a dynamical system. The fact that the system is differentiable allows one to use techniques from analysis and geometry. The study of transformationsand their long-termbehavior is ubiquitousin ma- ematics and the sciences. They arise not only in applications to the real world but also to diverse mathematical disciplines, including number theory, Lie groups, - gorithms, Riemannian geometry, etc. Hence smooth ergodic theory is the meeting ground of many different ideas in pure and applied mathematics. It has witnessed a great progress since the pioneering works of Sinai, Ruelle and Bowen on Axiom A diffeomorphisms and of Pesin on non-uniformly hyperbolic systems, and now it becomes a well-developed eld.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1978
Release date:	August 2009
First published:	2009
Authors:	Min Qian • Jian-Sheng Xie • Shu Zhu
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Paperback
Pages:	277
Edition:	2009 ed.
ISBN-13:	978-3-642-01953-1
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > General
LSN:	3-642-01953-6
Barcode:	9783642019531

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