Lyapunov Exponents of Linear Cocycles Continuity via Large Deviations /

• Κύριοι συγγραφείς: Duarte, Pedro (Συγγραφέας), Klein, Silvius (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Paris : Atlantis Press : Imprint: Atlantis Press, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: Atlantis Studies in Dynamical Systems ; 3
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Mathematical physics.; Dynamical Systems and Ergodic Theory.; Mathematical Physics.

The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropr...

Πίνακας περιεχομένων:

• Introduction
• Estimates on Grassmann Manifolds
• Abstract Continuity of Lyapunov Exponents
• The Oseledets Filtration and Decomposition
• Large Deviations for Random Cocycles
• Large Deviations for Quasi-Periodic Cocycles
• Further Related Problems.