Brownian motion and parabolic Anderson model in a renormalized Poisson potential

DOI10.1214/11-AIHP419zbMath1279.60106MaRDI QIDQ441238

Xia Chen, Alexei M. Kulik

Publication date: 20 August 2012

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aihp/1340714866

zbMATH Keywords

renormalizationPoisson fieldparabolic Anderson modelBrownian motion in Poisson potentialNewton's law of universal attraction

Mathematics Subject Classification ID

Brownian motion (60J65) Processes in random environments (60K37) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Brownian motion in attenuated or renormalized inverse-square Poisson potential ⋮ Feynman–Kac formula for parabolic Anderson model in Gaussian potential and fractional white noise ⋮ Annealed asymptotics for Brownian motion of renormalized potential in mobile random medium ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models ⋮ Large deviations for Brownian motion in a random potential ⋮ The mild and weak solutions of a stochastic parabolic Anderson equation ⋮ Mild solution to parabolic Anderson model in Gaussian and Poisson potential

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