Large deviation rate functions for the partition function in a log-gamma distributed random potential
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Publication:2434916
DOI10.1214/12-AOP768zbMath1291.60210arXiv1110.3544OpenAlexW2066458245MaRDI QIDQ2434916
Timo Seppäläinen, Nicos Georgiou
Publication date: 31 January 2014
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3544
partition functionlarge deviationsrandom walk in random potentialdirected polymer in random environment
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Processes in random environments (60K37)
Related Items
Localization in log-gamma polymers with boundaries ⋮ Localization transition for polymers in Poissonian medium ⋮ The endpoint distribution of directed polymers ⋮ Large deviations of the free energy in the O'Connell-Yor polymer ⋮ Ratios of partition functions for the log-gamma polymer ⋮ Free energy of directed polymers in random environment in \(1+1\)-dimension at high temperature ⋮ Upper tail bounds for stationary KPZ models ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Free energy fluctuations for a mixture of directed polymers ⋮ Quenched point-to-point free energy for random walks in random potentials ⋮ Stationary measures for two dual families of finite and zero temperature models of directed polymers on the square lattice ⋮ Variational formulas and cocycle solutions for directed polymer and percolation models ⋮ Characterizing stationary \(1+1\) dimensional lattice polymer models ⋮ Fractional moments of the stochastic heat equation ⋮ Fluctuations of the log-gamma polymer free energy with general parameters and slopes ⋮ Upper tail large deviations in Brownian directed percolation ⋮ KPZ equation tails for general initial data
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