Dynamics of Markov chains and stable manifolds for random diffeomorphisms

DOI10.1017/S0143385700004107zbMath0656.58033OpenAlexW2050960301MaRDI QIDQ3803874

Michael Brin, Yuri Kifer

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0143385700004107

zbMATH Keywords

Markov chainsstochastic differential equationsdiffusion processesstable manifoldRandom diffeomorphisms

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Diffusion processes and stochastic analysis on manifolds (58J65) Ergodic theory (37A99) Differential topological aspects of diffeomorphisms (57R50)

Related Items (9)

Estimates for the volume variation of compact submanifolds driven by a stochastic flow ⋮ Invariant manifolds for products of random diffeomorphisms ⋮ Dimension formula for random transformations ⋮ SRB measures for attractors with continuous invariant splittings ⋮ Empiric Stochastic Stability of Physical and Pseudo-physical Measures ⋮ Large Deviations in Dynamical Systems and Stochastic Processes ⋮ Normally hyperbolic invariant manifolds for random dynamical systems: Part I - persistence ⋮ Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states ⋮ SRB measures and Young towers for surface diffeomorphisms

Cites Work

• Ergodic theory of differentiable dynamical systems
• Characteristic exponents and invariant manifolds in Hilbert space
• Stochastic differential equations and stochastic flows of diffeomorphisms
• A nonrandom lyapunov spectrum for nonlinear stochastic dynamical systems
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS

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