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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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Smooth Ergodic Theory for Endomorphisms
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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Artikel-Nr. 5437165/12
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Smooth Ergodic Theory for Endomorphisms.
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Gr.-8°. XIII, 277 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar 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. Artikel-Nr. 5048DB
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Smooth Ergodic Theory for Endomorphisms
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Zustand: New. pp. 300 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Artikel-Nr. 6508324
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Smooth Ergodic Theory for Endomorphisms
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Springer, Berlin, Heidelberg, 2009
ISBN 10: 3642019536
ISBN 13: 9783642019531
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Paperback. Zustand: Near Fine. 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. Artikel-Nr. 627035
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Smooth Ergodic Theory for Endomorphisms (Lecture Notes in Mathematics, 1978)
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Smooth Ergodic Theory for Endomorphisms
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Springer, Berlin, Springer Berlin Heidelberg, Springer, 2009
ISBN 10: 3642019536
ISBN 13: 9783642019531
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Taschenbuch. Zustand: Neu. Neuware - 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 totackle 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. Artikel-Nr. 9783642019531
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