Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential.

DOI10.1016/S0304-4149(01)00117-XzbMath1062.82022MaRDI QIDQ1766016

Franz Merkl, Mario V. Wüthrich

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

random Schrödinger operatorsphase transitionWiener sausageBrownian motion in random potentials

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (2)

An invariance principle for the two-dimensional parabolic Anderson model with small potential ⋮ Brownian survival among Poissonian traps with random shapes at critical intensity

Cites Work

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• Survival asymptotics for Brownian motion in a Poisson field of decaying traps
• On the volume of the Wiener sausage
• Functional Integration and Partial Differential Equations. (AM-109)
• Asymptotics for the wiener sausage
• Long time asymptotics for the shrinking wiener sausage
• Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential
• Moderate deviations for the volume of the Wiener sausage

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