Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model.

DOI10.1023/A:1004840328675zbMath1174.82333arXivmath-ph/0007013OpenAlexW3011588931MaRDI QIDQ5942288

Marek Biskup, Wolfgang König

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0007013

zbMATH Keywords

Dirichlet eigenvalueslarge deviationsalmost-sure asymptoticsparabolic Anderson modelscreening effect

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) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Limit theorems in probability theory (60F99)

Related Items (9)

Long-time tails in the parabolic Anderson model with bounded potential ⋮ Localisation in the Bouchaud-Anderson model ⋮ Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails ⋮ Intermittency in a catalytic random medium ⋮ The universality classes in the parabolic Anderson model ⋮ Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Brownian motion and parabolic Anderson model in a renormalized Poisson potential ⋮ The Bouchaud-Anderson model with double-exponential potential

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