Smooth Ergodic Theory for Endomorphisms: 1978 (Lecture Notes in Mathematics) - Softcover

Qian, Min

9783642019531: Smooth Ergodic Theory for Endomorphisms: 1978 (Lecture Notes in Mathematics)

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ISBN 10: 3642019536 ISBN 13: 9783642019531

Verlag: Springer, 2009

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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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Verlag: Springer
Erscheinungsdatum: 2009
Sprache: Englisch
ISBN 10: 3642019536
ISBN 13: 9783642019531
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Anzahl der Seiten: 300
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9783642019555: Smooth Ergodic Theory for Endomorphisms

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ISBN 10: 3642019552 ISBN 13: 9783642019555
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Lecture Notes in Mathematics: Smooth Ergodic Theory for Endomorphisms (Volume 1978)

Qian, Min

Verlag: Springer, 2009

ISBN 10: 3642019536 ISBN 13: 9783642019531

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Zustand: Good. Volume 1978. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9783642019531. Bestandsnummer des Verk�ufers 5780258

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Smooth Ergodic Theory for Endomorphisms.

Qian, Min; Jian-Sheng Xie; Shu Zhu

Verlag: Berlin, Springer., 2009

ISBN 10: 3642019536 ISBN 13: 9783642019531

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Gr.-8�. XIII, 277 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband besto�en, daher M�ngelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Corners may be slightly damaged. Stamped/gestempelt. Lecture Notes in Mathematics, Vol. 1978. Sprache: Englisch. Bestandsnummer des Verk�ufers 5048DB

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Smooth Ergodic Theory for Endomorphisms

Min, Quian; Xie, Jian-sheng; Zhu, Shu

Verlag: Springer, 2009

ISBN 10: 3642019536 ISBN 13: 9783642019531

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Smooth Ergodic Theory for Endomorphisms (Paperback)

Jian-Sheng Xie

Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2009

ISBN 10: 3642019536 ISBN 13: 9783642019531

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Paperback. Zustand: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9783642019531

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