Intermediate disorder directed polymers and the multi-layer extension of the stochastic heat equation

DOI10.1214/17-EJP32zbMath1357.60107arXiv1603.08168OpenAlexW3100397727MaRDI QIDQ508470

Yong-Cai Geng, Sumit K. Garg

Publication date: 7 February 2017

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08168

zbMATH Keywords

partition functionstochastic heat equationdirected polymersscaling limitsnon-intersecting random walks

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (10)

Hidden invariance of last passage percolation and directed polymers ⋮ Invariance of polymer partition functions under the geometric RSK correspondence ⋮ Scaling limits for non-intersecting polymers and Whittaker measures ⋮ Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation ⋮ Scaling limits of directed polymers in spatial-correlated environment ⋮ Continuity and strict positivity of the multi-layer extension of the stochastic heat equation ⋮ Intermediate disorder limits for multi-layer semi-discrete directed polymers ⋮ Concentration for integrable directed polymer models ⋮ Central moments of the free energy of the stationary O'Connell-Yor polymer ⋮ A stationary model of non-intersecting directed polymers

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