Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise

DOI10.1007/s00440-019-00945-xzbMath1451.60075arXiv1808.04171OpenAlexW2979568270WikidataQ115607527 ScholiaQ115607527MaRDI QIDQ2182122

Pavlos Tsatsoulis, Hendrik Weber

Publication date: 21 May 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04171

zbMATH Keywords

metastabilityasymptotic couplingEyring-Kramers lawsingular SPDEs

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Regularization by noise (60H50) Singular stochastic partial differential equations (60H17)

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Cites Work

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• Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond
• A theory of regularity structures
• An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two
• Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times
• Large deviation estimates in the stochastic quantization of \(\phi ^ 4_ 2\)
• Small random perturbations of dynamical systems: Exponential loss of memory of the initial condition
• Strong solutions to the stochastic quantization equations.
• Spectral gap for the stochastic quantization equation on the 2-dimensional torus
• The dynamic \({\Phi^4_3}\) model comes down from infinity
• Construction of \(\Phi^4_3\) diagrams for pedestrians
• Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
• Rough Burgers-like equations with multiplicative noise
• Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions
• The free Markoff field
• Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation
• Large fluctuations for a nonlinear heat equation with noise
• Classical Fourier Analysis
• Stochastic Equations in Infinite Dimensions