Annealed asymptotics for the parabolic Anderson model with a moving catalyst

DOI10.1016/j.spa.2006.04.002zbMath1102.60058OpenAlexW2117297825MaRDI QIDQ855921

Jürgen Gärtner, Markus Heydenreich

Publication date: 7 December 2006

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2006.04.002

zbMATH Keywords

moment Lyapunov exponentsintermittencyparabolic Anderson problemcatalytic random medium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Random operators and equations (aspects of stochastic analysis) (60H25) Large deviations (60F10) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items

Parabolic Anderson model in a dynamic random environment: random conductances, Intermittency in a catalytic random medium, Intermittency on catalysts: voter model, Annealed vs quenched critical points for a random walk pinning model, A quenched limit theorem for the local time of random walks on \(\mathbb Z^2\), Catalytic Branching Processes via Spine Techniques and Renewal Theory

Cites Work

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• Sharp upper bound on the almost-sure exponential behavior of a stochastic parabolic partial differential equation