Annealed Brownian motion in a heavy tailed Poissonian potential

DOI10.1214/12-AOP754zbMath1279.60127arXiv1107.2315OpenAlexW3101088285MaRDI QIDQ378810

Ryoki Fukushima

Publication date: 12 November 2013

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

Full work available at URL: https://arxiv.org/abs/1107.2315

zbMATH Keywords

Brownian motionrandom medialocalizationPoissonian potential

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37)

Cites Work

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• Potential confinement property of the parabolic Anderson model
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• Localization of a two-dimensional random walk with an attractive path interaction
• Moment asymptotics for the continuous parabolic Anderson model.
• Almost sure asymptotics for the continuous parabolic Anderson model
• Second order asymptotics for Brownian motion in a heavy tailed Poissonian potential
• On the confinement property of two‐dimensional Brownian motion among poissonian obstacles
• Asymptotics for the wiener sausage

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