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...

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Autori principali: Qian, Min, 1927-...., mathématicien, Xie, Jian-Sheng (Autore), Zhu, Shu-Shang (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edizione:1st ed. 2009.
Serie:Lecture Notes in Mathematics 1978
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Nota: Description d'après consultation du 30 mars 2012
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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
Sommario:
  • 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