Name: Smooth Ergodic Theory for Endomorphisms (en Inglés)
SKU: 2749229
Price: 54.12 USD
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Author: Qian Min,Xie Jian-Sheng,Zhu Shu

portada Smooth Ergodic Theory for Endomorphisms (en Inglés)

Smooth Ergodic Theory for Endomorphisms (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Qian Min,Xie Jian-Sheng,Zhu Shu

Año

2009

Idioma

Inglés

N° páginas

300

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.6 cm

Peso

0.42 kg.

ISBN

3642019536

ISBN13

9783642019531

N° edición

2009

Categorías

Cálculo diferencial y ecuaciones

Smooth Ergodic Theory for Endomorphisms (en Inglés)

Qian Min,Xie Jian-Sheng,Zhu Shu (Autor) · Springer · Tapa Blanda

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Reseña del libro "Smooth Ergodic Theory for Endomorphisms (en Inglés)"

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 anddimensions. 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) theequivalence 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 theexact-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 classicalresults 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 ofballs of certain properties, which are extensively used in Chapters IX and X.