Second order asymptotics for Brownian motion in a heavy tailed Poissonian potential

zbMath1251.60075arXiv1010.3875MaRDI QIDQ3118431

Ryoki Fukushima

Publication date: 2 March 2012

Full work available at URL: https://arxiv.org/abs/1010.3875

zbMATH Keywords

Brownian motionrandom mediaparabolic Anderson modelPoissonian potential

Mathematics Subject Classification ID

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

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Annealed Brownian motion in a heavy tailed Poissonian potential ⋮ 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 ⋮ Large deviations for Brownian motion in a random potential ⋮ Quenched asymptotics for symmetric Lévy processes interacting with Poissonian fields

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