High temperature limits for \((1+1)\)-dimensional directed polymer with heavy-tailed disorder

DOI10.1214/15-AOP1067zbMath1359.60117arXiv1503.01054MaRDI QIDQ504257

Partha S. Dey, Nikos Zygouras

Publication date: 13 January 2017

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

Full work available at URL: https://arxiv.org/abs/1503.01054

zbMATH Keywords

partition functioncharacteristic functionphase transitionmultilinear polynomialscaling limitsWiener chaos expansiondirected polymerexponential momentfinite momentheavy tailed disorderhigh temperature regimepath energy

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57)

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Positive random walks and an identity for half-space SPDEs ⋮ Some algebraic structures in KPZ universality ⋮ Directed polymers in heavy-tail random environment ⋮ 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 ⋮ Nested critical points for a directed polymer on a disordered diamond lattice ⋮ Polynomial chaos and scaling limits of disordered systems ⋮ 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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