Small noise spectral gap asymptotics for a large system of nonlinear diffusions

DOI10.4171/JST/182zbMath1395.60095arXiv1506.04434MaRDI QIDQ680701

Dorian Le Peutrec, Giacomo Di Gesù

Publication date: 26 January 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04434

zbMATH Keywords

metastabilityspectral gaplog-Sobolev inequalityinteracting particle systemWitten Laplacianstochastic Allen-Cahn equationsmall noise asymptotics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Estimates of eigenvalues in context of PDEs (35P15) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (8)

On Witten Laplacians and Brascamp-Lieb's inequality on manifolds with boundary ⋮ Sharp spectral asymptotics for nonreversible metastable diffusion processes ⋮ Spectral analysis of discrete metastable diffusions ⋮ A note on one-dimensional Poincaré inequalities by Stein-type integration ⋮ Tunneling for a class of difference operators: complete asymptotics ⋮ Sharp tunneling estimates for a double-well model in infinite dimension ⋮ Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes ⋮ Small eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary

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