Livšic theorem for matrix cocycles over nonuniformly hyperbolic systems

DOI10.1142/S0219493719500102zbMath1416.37034OpenAlexW2794943619MaRDI QIDQ5384775

Rui Zou, Yong-Luo Cao

Publication date: 25 June 2019

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493719500102

zbMATH Keywords

Lyapunov exponenthyperbolic measurematrix cocycleLivšic theorem

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) General theory of random and stochastic dynamical systems (37H05)

Related Items (3)

Livšic theorems for Banach cocycles: existence and regularity ⋮ A Livšic theorem for matrix cocycles over non-uniformly hyperbolic systems ⋮ Livšic theorem for matrix cocycles over an axiom a flow

Cites Work

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• Livšic theorem for low-dimensional diffeomorphism cocycles
• Livšic theorem for Banach rings
• Livšic theorem for matrix cocycles
• On Livšic's theorem, superrigidity, and Anosov actions of semisimple Lie groups
• Livsic theorems for connected Lie groups
• Livšic's theorem for semisimple Lie groups
• Exponential closing property and approximation of Lyapunov exponents of linear cocycles
• Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
• The Livšic periodic point theorem for non-abelian cocycles
• The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems

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