Berlin, Heidelberg: Springer, 2009. xiii, 277 pp. 23.5 x 15.5 cm. Stiff paper wrappers printed in dark blue and goldenrod. Faint rubbing to covers consistent with normal shelfwear. Interior clean and unmarked. Binding sound with no creases or cracks. . Soft Cover. Near Fine.

Bestandsnummer des Verk�ufers 627035

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Bibliografische Details

Titel

Smooth Ergodic Theory for Endomorphisms

Verlag

Springer, Berlin, Heidelberg

Erscheinungsjahr

2009

Sprache

Englisch

ISBN-10

3642019536

ISBN-13

9783642019531

Einband

Paperback

Zustand

Near Fine

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Inhaltsangabe

Ideal for researchers and graduate students, this volume sets out a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms. Its focus is on the relations between entropy, Lyapunov exponents and dimensions.

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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.

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