Smooth Ergodic Theory for Endomorphisms

• Κύριοι συγγραφείς: Qian, Min (Συγγραφέας), Xie, Jian-Sheng (Συγγραφέας), Zhu, Shu (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1978
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Mechanical engineering.; Dynamical Systems and Ergodic Theory.; Mechanical Engineering.

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...

Πίνακας περιεχομένων:

• 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.