Smooth ergodic theory for endomorphisms
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 techniq...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2009. |
| Schriftenreihe: | Lecture Notes in Mathematics
1978 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'après consultation du 30 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Smooth ergodic theory for endomorphisms, Min Qian, Jian-Sheng Xie, Shu Zhu, 2009, Berlin, Springer, 1 vol. (XIII-277 p.), Lecture notes in mathematics, 978-3-642-01953-1 • Smooth Ergodic Theory for Endomorphisms, Texte imprimé, 9783642019555 • Smooth ergodic theory for endomorphisms, Min Qian, Jian-Sheng Xie, Shu Zhu, 2009, Berlin, Springer, 1 vol. (XIII-277 p.), Lecture notes in mathematics, 978-3-642-01953-1 |
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| 100 | 1 | |a Qian, Min, |d 1927-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Smooth ergodic theory for endomorphisms |c by Min Qian, Jian-Sheng Xie, Shu Zhu. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1978 |x 1617-9692 | |
| 500 | |a Description d'après consultation du 30 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preliminaries Margulis-Ruelle Inequality Expanding Maps Axiom A Endomorphisms Unstable and Stable Manifolds for Endomorphisms Pesin#x2019;s Entropy Formula for Endomorphisms SRB Measures and Pesin#x2019;s Entropy Formula for Endomorphisms Ergodic Property of Lyapunov Exponents Generalized Entropy Formula Exact Dimensionality of Hyperbolic Measures | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Génie mécanique | ||
| 650 | |a Systèmes dynamiques | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Endomorphismes (théorie des groupes) | ||
| 700 | 1 | |a Xie, Jian-Sheng. |4 aut | |
| 700 | 1 | |a Zhu, Shu-Shang. |4 aut | |
| 776 | 0 | |0 136552943 |t Smooth ergodic theory for endomorphisms |f Min Qian, Jian-Sheng Xie, Shu Zhu |d 2009 |c Berlin |n Springer |p 1 vol. (XIII-277 p.) |s Lecture notes in mathematics |z 978-3-642-01953-1 | |
| 776 | 0 | |t Smooth Ergodic Theory for Endomorphisms |b Texte imprimé |z 9783642019555 | |
| 776 | 0 | |0 136552943 |t Smooth ergodic theory for endomorphisms |f Min Qian, Jian-Sheng Xie, Shu Zhu |d 2009 |c Berlin |n Springer |p 1 vol. (XIII-277 p.) |s Lecture notes in mathematics |z 978-3-642-01953-1 | |
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