Directed polymers in a random environment with heavy tails

DOI10.1002/cpa.20348zbMath1210.82076arXiv1001.1028OpenAlexW2962719840MaRDI QIDQ3068375

Antonio Auffinger, Oren Louidor

Publication date: 14 January 2011

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1028

zbMATH Keywords

polymersLipschitz curves

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Localization transition for polymers in Poissonian medium ⋮ The discrete-time parabolic Anderson model with heavy-tailed potential ⋮ Directed polymers in heavy-tail random environment ⋮ Scaling limit of the heavy tailed ballistic deposition model with \(p\)-sticking ⋮ Pinning model with heavy tailed disorder ⋮ Properties of the parabolic Anderson model and the Anderson polymer model ⋮ Localization in Gaussian disordered systems at low temperature ⋮ Overlaps and pathwise localization in the Anderson polymer model ⋮ Directed polymer in \(\gamma\)-stable random environments ⋮ Full-path localization of directed polymers ⋮ The scaling limit of the directed polymer with power-law tail disorder ⋮ The continuum directed polymer in Lévy noise ⋮ Proof of the path localization conjecture for directed polymers ⋮ Non-directed polymers in heavy-tail random environment in dimension \(d\geq 2\)

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