On spectral gaps and exit time distributions for a non-smooth domain

DOI10.1515/FORUM.2006.029zbMath1114.31005OpenAlexW2109590182MaRDI QIDQ3431413

Daehong Kim

Publication date: 10 April 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2006.029

zbMATH Keywords

spectral gapDirichlet formexit distribution

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Diffusion processes (60J60) Martin boundary theory (31C35)

Cites Work

• Asymptotics of the spectral gap with applications to the theory of simulated annealing
• Simulated annealing via Sobolev inequalities
• Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium
• Hitting times and spectral gap inequalities
• On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities

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