Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder

DOI10.1214/18-AAP1404zbMath1404.60152arXiv1610.06975OpenAlexW2963674899MaRDI QIDQ1634186

Jeremy Quastel, Arjun Krishnan

Publication date: 17 December 2018

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

Full work available at URL: https://arxiv.org/abs/1610.06975

zbMATH Keywords

universalityTracy-Widom distributiondirected polymerlog-gamma

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items

Invariance of polymer partition functions under the geometric RSK correspondence, Second order cubic corrections of large deviations for perturbed random walks, Stationary measures for the log-gamma polymer and KPZ equation in half-space, HALF-SPACE MACDONALD PROCESSES, Francis Comets' Gumbel last passage percolation, Two-point convergence of the stochastic six-vertex model to the Airy process, Fluctuations of the log-gamma polymer free energy with general parameters and slopes, Characterization of Brownian Gibbsian line ensembles, Tracy-Widom fluctuations in 2D random Schrödinger operators, Busemann functions, geodesics, and the competition interface for directed last-passage percolation

Cites Work

• Unnamed Item
• Unnamed Item
• Height fluctuations for the stationary KPZ equation
• Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
• Directed polymers and the quantum Toda lattice
• Scaling for a one-dimensional directed polymer with boundary conditions
• Directed polymers in random environment are diffusive at weak disorder
• Directed polymers in a random environment: Path localization and strong disorder
• The thermodynamic limit in mean field spin glass models
• On the partition function of a directed polymer in a Gaussian random environment
• The universal relation between scaling exponents in first-passage percolation
• Shape fluctuations and random matrices
• Macdonald processes
• The intermediate disorder regime for directed polymers in dimension \(1+1\)
• The Parisi formula
• Universality of Chaos and Ultrametricity in Mixedp-Spin Models
• The scaling relation chi = 2 xi - 1 for directed polymers in a random environment
• Universality in bipartite mean field spin glasses
• CUMULANTS AND PARTITION LATTICES1
• On the distribution of the length of the longest increasing subsequence of random permutations
• Extreme value problems in random matrix theory and other disordered systems