Capacity and principal eigenvalues: The method of enlargement of obstacles revisited

DOI10.1214/aop/1024404510zbMath0885.60063OpenAlexW1989109708MaRDI QIDQ1370226

Alain-Sol Sznitman

Publication date: 17 November 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1024404510

zbMATH Keywords

Brownian motionPoissonian potentialprincipal Dirichlet eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Probabilistic potential theory (60J45)

Related Items (5)

Asymptotic survival probabilities in the random saturation process. ⋮ Critical large deviations of one-dimensional annealed Brownian motion in a Poissonian potential ⋮ Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase ⋮ On the cost of the bubble set for random interlacements ⋮ A lower bound for the principal eigenvalue of the Stokes operator in a random domain

Cites Work

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• Intersection-equivalence of Brownian paths and certain branching processes
• Brownian survival among Gibbsian traps
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Asymptotic Variational Formulae for Eigenvalues

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