Nonexistence of Lyapunov exponents for matrix cocycles

DOI10.1214/15-AIHP733zbMath1365.37047arXiv1505.04477OpenAlexW3105178562MaRDI QIDQ520788

Xue Ting Tian

Publication date: 6 April 2017

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04477

zbMATH Keywords

Lyapunov exponentmultiplicative ergodic theoremspecification propertysub-additive ergodic theoremuniformly hyperbolic system

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (7)

Topological entropy of level sets of empirical measures for non-uniformly expanding maps ⋮ Ergodic average of typical orbits and typical functions ⋮ Topological structures on saturated sets, optimal orbits and equilibrium states ⋮ Lyapunov irregular set of Banach cocycles ⋮ Some questions and remarks on Lyapunov irregular behavior for linear cocycles ⋮ Lyapunov exponents for random maps ⋮ A remark on the invertibility of semi-invertible cocycles

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