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Technical Smooth Ergodic Theory for Endomorphisms

Posted on 2010-04-14




Name:Technical Smooth Ergodic Theory for Endomorphisms
ASIN/ISBN:3642019536
Publisher:Springer
Publish Date:edition 2009
Pages:277 pages
File size:22.55 Mb
Publisher: Springer
ISBN: 3642019536
Publish Date: edition 2009
File Type: PDF
Pages: 277 pages
File Size: 22,55 mb
   Technical Smooth Ergodic Theory for Endomorphisms

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Smooth Ergodic Theory for Endomorphisms

This volume presents a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms, mainly concerning the relations between entropy, Lyapunov exponents and dimensions. The authors make extensive use of the combination of the inverse limit space technique and the techniques developed to attack random dynamical systems. The most interesting results in this book are (1) the equivalence between the SRB property and Pesin’s entropy formula; (2) the generalized Ledrappier-Young entropy formula; (3) exact-dimensionality for weakly hyperbolic diffeomorphisms and for expanding maps.

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