Non-Markovian invariant measures are hyperbolic

DOI10.1016/0304-4149(93)90057-BzbMath0778.60030MaRDI QIDQ1208953

Hans Crauel

Publication date: 16 May 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentrandom dynamical systemergodic family of measure preserving transformations

Mathematics Subject Classification ID

Continuity and singularity of induced measures (60G30)

Related Items (5)

Approximation of stationary solutions to SDEs driven by multiplicative fractional noise ⋮ Measure attractors and Markov attractors ⋮ Random dynamics on real and complex projective surfaces ⋮ Approximation of stationary solutions of Gaussian driven stochastic differential equations ⋮ Rate of convergence to equilibrium of fractional driven stochastic differential equations with rough multiplicative noise

Cites Work

• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Extremal exponents of random dynamical systems do not vanish
• Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants. (Statistical equilibrium for products of independent random diffeomorphisms)
• Partial Differential Relations
• Markov measures for random dynamical systems
• Riemannian geometry
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