Directed polymers in heavy-tail random environment

DOI10.1214/19-AOP1353zbMath1464.60087arXiv1802.03355MaRDI QIDQ2189464

Quentin Berger, Niccolò Torri

Publication date: 15 June 2020

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

Full work available at URL: https://arxiv.org/abs/1802.03355

zbMATH Keywords

directed polymerlast-passage percolationsuperdiffusivityheavy-tail distributionsweak-coupling limit

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Statistical mechanics of polymers (82D60) Processes in random environments (60K37)

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One-dimensional polymers in random environments: stretching vs. folding ⋮ Scaling limit of the heavy tailed ballistic deposition model with \(p\)-sticking ⋮ Scaling limits of directed polymers in spatial-correlated environment ⋮ Localization in Gaussian disordered systems at low temperature ⋮ Beyond Hammersley's last-passage percolation: a discussion on possible local and global constraints ⋮ 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 ⋮ The intermediate disorder regime for Brownian directed polymers in Poisson environment ⋮ Non-directed polymers in heavy-tail random environment in dimension \(d\geq 2\)

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