Quenched to annealed transition in the parabolic Anderson problem

DOI10.1007/s00440-006-0020-7zbMath1136.60016OpenAlexW2052830412MaRDI QIDQ2369867

Michael Craig Cranston, Stanislav Alekseevich Molchanov

Publication date: 21 June 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-006-0020-7

zbMATH Keywords

central limit theoremparabolic Anderson equationannealed asymptoticsquenched asymptotics

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Large deviations (60F10)

Related Items (10)

On the association and central limit theorem for solutions of the parabolic Anderson model ⋮ Properties of the parabolic Anderson model and the Anderson polymer model ⋮ An asymptotic theory for randomly forced discrete nonlinear heat equations ⋮ On the stochastic heat equation with spatially-colored random forcing ⋮ Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour ⋮ Intermittency properties in a hyperbolic Anderson problem ⋮ Semi-discrete semi-linear parabolic SPDEs ⋮ Limit theorems for time-dependent averages of nonlinear stochastic heat equations ⋮ Non-linear noise excitation and intermittency under high disorder ⋮ Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups

Cites Work

• Limit laws for sums of products of exponentials of iid random variables
• Transition from the annealed to the quenched asymptotics for a random walk on random obstacles
• Parabolic Anderson problem and intermittency
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