Stochastic stability of invariant subspaces

DOI10.1017/S0143385700000353zbMath0974.37034MaRDI QIDQ4494989

Thomas Bogenschütz

Publication date: 10 August 2000

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

zbMATH Keywords

Lyapunov exponentstransfer operatorquasi-compactOseledets spaces

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) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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Statistical stability and linear response for random hyperbolic dynamics ⋮ Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles ⋮ Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi‐invertible Matrix Cocycles ⋮ Quenched limit theorems for random U(1) extensions of expanding maps ⋮ Quenched linear response for smooth expanding on average cocycles ⋮ A self-consistent dynamical system with multiple absolutely continuous invariant measures ⋮ Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles ⋮ Hilbert space Lyapunov exponent stability ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems

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