METASTABILITY FOR RANDOM PERTURBATIONS OF NEARLY-HAMILTONIAN SYSTEMS

DOI10.1142/S0219493708002172zbMath1151.60011OpenAlexW1964440560MaRDI QIDQ3520438

Mark I. Freidlin, Avanti Athreya

Publication date: 26 August 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493708002172

zbMATH Keywords

large deviationsaveraging principleMetastability

Mathematics Subject Classification ID

Diffusion processes (60J60) Large deviations (60F10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

Nonlinear stochastic perturbations of dynamical systems and quasi-linear parabolic PDE's with a small parameter ⋮ On perturbations of generalized Landau-Lifshitz dynamics ⋮ Metastability for nonlinear random perturbations of dynamical systems

Cites Work

• Diffusion processes on graphs and the averaging principle
• Quasi-deterministic approximation, metastability and stochastic resonance
• On stochastic behavior of perturbed Hamiltonian systems

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