Small random perturbations of dynamical systems: Exponential loss of memory of the initial condition

DOI10.1007/BF01223205zbMath0659.60092MaRDI QIDQ1112455

Fabio Martinelli, Elisabetta Scoppola

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

attractorsrandom perturbations of dynamical systemsVentzel-Freidlin theory

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic analysis (60H99) Markov processes (60J99)

Related Items

Synchronization by noise, Local action functionals for randomly perturbed dynamical systems on long time intervals^∗, Stability of Lyapunov exponents, Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise, Scaling limit of small random perturbation of dynamical systems, Small random perturbations of a dynamical system with blow-up, On the approaching time towards the attractor of differential equations perturbed by small noise, Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3, Pointwise estimates and exponential laws in metastable systems via coupling methods, On the Swendsen-Wang dynamics. I: Exponential convergence to equilibrium, Precise asymptotics of small eigenvalues of reversible diffusions in the metastable regime, Large-density fluctuations for the one-dimensional supercritical contact process, Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times, Unpredictability of an exit time

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