Intermittency on catalysts: voter model

DOI10.1214/10-AOP535zbMath1223.60080arXiv0908.2907OpenAlexW3104332776MaRDI QIDQ1958468

Jürgen Gärtner, Gregory Maillard, W. Th. F. den Hollander

Publication date: 29 September 2010

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2907

zbMATH Keywords

Lyapunov exponentslarge deviationscoalescing random walksvoter modelintermittencyparabolic Anderson equationcatalytic random medium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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)

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Cites Work

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• Occupation time limit theorems for the voter model
• Large deviations for voter model occupation times in two dimensions
• Annealed asymptotics for the parabolic Anderson model with a moving catalyst
• Intermittency in a catalytic random medium
• Intermittency on catalysts: three-dimensional simple symmetric exclusion
• Super-Brownian limits of voter model clusters
• Intermittency on catalysts: symmetric exclusion
• Intermittency on catalysts