Area versus capacity and solidification in the crushed ice model

DOI10.1007/s00440-003-0332-9zbMath1064.60167OpenAlexW1981491499MaRDI QIDQ706331

Erwin Bolthausen, Michiel van den Berg

Publication date: 8 February 2005

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

Full work available at URL: https://doi.org/10.1007/s00440-003-0332-9

zbMATH Keywords

heat equationasymptotic behaviourtotal heat flow

Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) Probabilistic potential theory (60J45) Free boundary problems for PDEs (35R35) Potentials and capacities on other spaces (31C15)

Related Items (3)

Extremal geometry of a Brownian porous medium ⋮ Heat content and Hardy inequality for complete Riemannian manifolds ⋮ Area versus capacity and independence in the crushed ice model

Cites Work

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• Wiener sausage and self-intersection local times
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• Potential and scattering theory on wildly perturbed domains
• Mean curvature and the heat equation
• Area versus capacity and independence in the crushed ice model
• On spectral asymptotics for domains with fractal boundaries
• Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou
• Capacitary asymptotic expansion of the groundstate to second order
• Jensen Measures for R (K )

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