Pesin's formula for random dynamical systems on \(\mathbb R^d\)

DOI10.1007/s10884-014-9347-4zbMath1351.37217arXiv1201.1191OpenAlexW3123606285MaRDI QIDQ2250038

Moritz Biskamp

Publication date: 4 July 2014

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1191

zbMATH Keywords

entropyLyapunov exponentsrandom dynamical systemsergodic theorystochastic flowsPesin theory

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items

Positive Lyapunov exponent in the Hopf normal form with additive noise, A remark on stochastic flows in a Hilbert space, A random dynamical systems perspective on isochronicity for stochastic oscillations

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