Some results on small random perturbations of an infinite dimensional dynamical system

DOI10.1016/0304-4149(91)90071-JzbMath0734.60068OpenAlexW2084520819MaRDI QIDQ811010

Stella Brassesco

Publication date: 1991

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(91)90071-j

zbMATH Keywords

large deviationsstochastic partial differential equationinfinite-dimensional dynamical systemstunnellingmetastability characterization

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (13)

Limit theorems on the exit problems for small random perturbations of dynamical systems. II ⋮ Large deviations of fractional stochastic equations with non-Lipschitz drift and multiplicative noise on unbounded domains ⋮ Large deviation principles of stochastic reaction-diffusion lattice systems ⋮ Metastability: A Brief Introduction Through Three Examples ⋮ Behavior of droplets for a class of Glauber dynamics at very low temperature ⋮ Metastability for small random perturbations of a PDE with blow-up ⋮ The Exit Problem from a Neighborhood of the Global Attractor for Dynamical Systems Perturbed by Heavy-Tailed Lévy Processes ⋮ Sharp asymptotics of metastable transition times for one dimensional SPDEs ⋮ Unnamed Item ⋮ Unpredictability of an exit time ⋮ The first exit problem of reaction-diffusion equations for small multiplicative L\'evy noise ⋮ Uniform large deviation principles for Banach space valued stochastic evolution equations ⋮ Metastability in a class of hyperbolic dynamical systems perturbed by heavy-tailed Lévy type noise

Cites Work

• Unnamed Item
• Unnamed Item
• An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
• Metastability for a class of dynamical systems subject to small random perturbations
• Metastable behavior of stochastic dynamics: A pathwise approach
• Reaction-diffusion equations for interacting particle systems
• Nucleation for a long range magnetic model
• Geometric theory of semilinear parabolic equations
• Random Perturbations of Reaction-Diffusion Equations: The Quasi-Deterministic Approximation
• Large fluctuations for a nonlinear heat equation with noise
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†

This page was built for publication: Some results on small random perturbations of an infinite dimensional dynamical system