Thermalisation for small random perturbations of dynamical systems

DOI10.1214/19-AAP1526zbMath1469.60303arXiv1510.09207OpenAlexW3045563289MaRDI QIDQ2657907

Gerardo Barrera, Milton D. Jara

Publication date: 18 March 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.09207

zbMATH Keywords

Brownian motionstochastic differential equationsHartman-Grobman theoremtotal variation distancecut-off phenomenonhyperbolic fixed pointperturbed dynamical systemsthermalisation

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) PDEs with randomness, stochastic partial differential equations (35R60) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Cutoff thermalization for Ornstein-Uhlenbeck systems with small Lévy noise in the Wasserstein distance ⋮ Limit behavior of the invariant measure for Langevin dynamics ⋮ The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise ⋮ Universal cutoff for Dyson Ornstein Uhlenbeck process ⋮ The cutoff phenomenon in Wasserstein distance for nonlinear stable Langevin systems with small Lévy noise ⋮ A switch convergence for a small perturbation of a linear recurrence equation ⋮ The cutoff phenomenon in total variation for nonlinear Langevin systems with small layered stable noise

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