Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems

DOI10.1017/etds.2019.22zbMath1454.37052arXiv1612.05056OpenAlexW2574117502WikidataQ128072092 ScholiaQ128072092MaRDI QIDQ4970737

Mauricio Poletti, Paulo Varandas, Yuri Lima, Lucas H. Backes

Publication date: 7 October 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05056

zbMATH Keywords

Lyapunov exponentsnonuniform hyperbolicitylinear cocyles

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (7)

Quasi-multiplicativity of typical cocycles ⋮ Uniformity of singular value exponents for typical cocycles ⋮ Simplicity of the Lyapunov spectrum for classes of Anosov flows ⋮ An invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamics ⋮ Random product of quasi-periodic cocycles ⋮ Symbolic dynamics for non-uniformly hyperbolic systems ⋮ Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties

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