Smooth Ergodic Theory for Endomorphisms (Paperback) (ISBN-13: 9783642019531)

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.

Author: Min Qian,Jian-Sheng Xie,Shu Zhu
ISBN-10: 3642019536
ISBN-13: 9783642019531
Publisher: Springer
Language: English
Published: 09/02/2009
Pages: 277
Format: Paperback
Weight: 0.93lbs
Size: 9.21h x 6.14w x 0.63d