#
Smooth Ergodic Theory for Endomorphisms
Resource Information
The work ** Smooth Ergodic Theory for Endomorphisms** represents a distinct intellectual or artistic creation found in **Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Smooth Ergodic Theory for Endomorphisms
Resource Information

The work

**Smooth Ergodic Theory for Endomorphisms**represents a distinct intellectual or artistic creation found in**Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Smooth Ergodic Theory for Endomorphisms

- Statement of responsibility
- by Min Qian, Jian-Sheng Xie, Shu Zhu

- Language
- eng

- Summary
- 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 tackle 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. The proof of the exact-dimensionality for weakly hyperbolic diffeomorphisms seems more accessible than that of Barreira et al. It also inspires the authors to argue to what extent the famous Eckmann-Ruelle conjecture and many other classical results for diffeomorphisms and for flows hold true. After a careful reading of the book, one can systematically learn the Pesin theory for endomorphisms as well as the typical tricks played in the estimation of the number of balls of certain properties, which are extensively used in Chapters IX and X

- Image bit depth
- 0

- LC call number
- QA313

- Literary form
- non fiction

- Series statement
- Lecture Notes in Mathematics,

- Series volume
- 1978

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