The discrete-time parabolic Anderson model with heavy-tailed potential

DOI10.1214/11-AIHP465zbMath1266.60162arXiv1012.4653MaRDI QIDQ1930655

Philippe Carmona, Francesco Caravenna, Nicolas Pétrélis

Publication date: 11 January 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4653

zbMATH Keywords

random environmentlocalizationparabolic Anderson modeldirected polymerheavy tailed potential

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)

Related Items (1)

Non-directed polymers in heavy-tail random environment in dimension \(d\geq 2\)

Cites Work

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• New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
• The universality classes in the parabolic Anderson model
• Parabolic problems for the Anderson model. I: Intermittency and related topics
• A two cities theorem for the parabolic Anderson model
• On the partition function of a directed polymer in a Gaussian random environment
• Stretched Polymers in Random Environment
• Directed polymers in a random environment with heavy tails

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