Jordan normal form for linear cocycles

DOI10.1515/rose.1999.7.4.303zbMath0971.37002OpenAlexW1989597429MaRDI QIDQ2739931

Ludwig Arnold, Nguyen Dinh Cong, Valery I. Oseledets

Publication date: 16 September 2001

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose.1999.7.4.303

zbMATH Keywords

classificationcohomologyinvariant measureLyapunov exponentlinear cocycles

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General groups of measure-preserving transformations (28D15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (12)

On classification of linear cocycles over ergodic automorphisms ⋮ Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles ⋮ Uniformly expanding random walks on manifolds ⋮ Lower bounds on the Lyapunov exponents of stochastic differential equations ⋮ Extremal exponents of random products of conservative diffeomorphisms ⋮ Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles ⋮ Persistence of nonhyperbolic measures for \(C^{1}\)-diffeomorphisms ⋮ On irreducibility of oseledets subspaces ⋮ Morse and Lyapunov spectra and dynamics on flag bundles ⋮ Convergence to local random attractors ⋮ A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations ⋮ Singular analytic linear cocycles with negative infinite Lyapunov exponents

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