Long Time Influence of Small Perturbations and Motion on the Simplex of Invariant Probability Measures

zbMath1491.60140arXiv2010.01182MaRDI QIDQ5081957

Mark I. Freidlin

Publication date: 17 June 2022

Full work available at URL: https://arxiv.org/abs/2010.01182

zbMATH Keywords

perturbation theorydiffusion approximationlarge deviationsaveragingPDEs with a small parameter

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Reaction-diffusion equations (35K57) Diffusion processes (60J60) Large deviations (60F10) Perturbations of ordinary differential equations (34D10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Perturbations in context of PDEs (35B20) Regularization by noise (60H50)

Related Items (5)

Asymptotics in the Dirichlet problem for second order elliptic equations with degeneration on the boundary ⋮ Perturbations of parabolic equations and diffusion processes with degeneration: boundary problems, metastability, and homogenization ⋮ On limit measures and their supports for stochastic ordinary differential equations ⋮ Averaging in the case of multiple invariant measures for the fast system ⋮ Perturbation of systems with a first integral: motion on the Reeb graph

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