On the periodic approximation of Lyapunov exponents for semi-invertible cocycles

DOI10.3934/dcds.2017275zbMath1379.37098arXiv1612.04159OpenAlexW3100228886MaRDI QIDQ2402898

Lucas H. Backes

Publication date: 15 September 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04159

zbMATH Keywords

periodic pointLyapunov exponentsemi-invertible linear cocycle

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (6)

Lyapunov exponents of cocycles over non-uniformly hyperbolic systems ⋮ Continuity of spectral radius over hyperbolic systems ⋮ Periodic approximation of Oseledets subspaces for semi-invertible cocycles ⋮ Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles ⋮ A remark on the invertibility of semi-invertible cocycles ⋮ Continuity of sub-additive topological pressure with matrix cocycles ^*

Cites Work

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• Livšic theorem for low-dimensional diffeomorphism cocycles
• Rigidity of fiber bunched cocycles
• Livšic theorem for matrix cocycles
• Homology properties of Y-systems
• Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems
• On the approximation of Lyapunov exponents and a question suggested by Anatole Katok
• Coherent structures and isolated spectrum for Perron–Frobenius cocycles
• Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
• Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems
• Non-zero Lyapunov exponents and uniform hyperbolicity
• Periodic approximation of Lyapunov exponents for Banach cocycles
• Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
• COHOMOLOGY OF DYNAMICAL SYSTEMS
• Lectures on Lyapunov Exponents
• Cohomology of fiber bunched cocycles over hyperbolic systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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