On stochastic perturbations of dynamical systems with a ``rough symmetry. Hierarchy of Markov chains.

DOI10.1007/s10955-014-1110-zzbMath1308.60071arXiv1406.4792OpenAlexW1966904134MaRDI QIDQ2254903

Mark I. Freidlin

Publication date: 6 February 2015

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4792

zbMATH Keywords

metastable distributionstochastically perturbed dynamical systemscone of stationary distributionshierarchy of Markov chains

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (5)

A graph-algorithmic approach for the study of metastability in Markov chains ⋮ Metastable distributions of Markov chains with rare transitions ⋮ An asymptotic analysis for Hamilton-Jacobi equations with large Hamiltonian drift terms ⋮ Averaging in the case of multiple invariant measures for the fast system ⋮ On the long-time behavior of a perturbed conservative system with degeneracy

Cites Work

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• Quasi-deterministic approximation, metastability and stochastic resonance
• Random Perturbations of Dynamical Systems
• On stochastic behavior of perturbed Hamiltonian systems
• On extreme points of regular convex sets

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