Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
type: Item
instance of: scholarly article
title: Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
zbMATH Open document ID: 1295.82035
author: Alexei Borodin
author: Ivan Corwin
author: Patrik Lino Ferrari
published in: Communications on Pure and Applied Mathematics
publication date: 2014-06-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1204.1024
Mathematics Subject Classification ID: 82D60
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 15B52
Mathematics Subject Classification ID: 35Q82
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 82D30
zbMATH DE Number: 6303883
zbMATH Keywords: random media
zbMATH Keywords: polymers
zbMATH Keywords: Laplace transform
zbMATH Keywords: Tracy-Widom distribution
zbMATH Keywords: Kardar-Parisi-Zhang equation
MaRDI profile type: Publication
OpenAlex ID: W2963851267
arXiv ID: 1204.1024
cites work: The continuum directed random polymer
cites work: The intermediate disorder regime for directed polymers in dimension \(1+1\)
cites work: Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
cites work: Painlevé formulas of the limiting distributions for nonnull complex sample covariance matrices
cites work: Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
cites work: On the distribution of the length of the longest increasing subsequence of random permutations
cites work: Limiting distributions for a polynuclear growth model with external sources
cites work: Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture
cites work: The stochastic heat equation: Feynman-Kac formula and intermittence.
cites work: Stochastic Burgers and KPZ equations from particle systems
cites work: A note on the diffusion of directed polymers in a random environment
cites work: Two speed TASEP
cites work: Airy kernel with two sets of parameters in directed percolation and random matrix theory
cites work: Overlaps and pathwise localization in the Anderson polymer model
cites work: Directed polymers in random environment are diffusive at weak disorder
cites work: The Kardar-Parisi-Zhang equation and universality class
cites work: Tropical combinatorics and Whittaker functions
cites work: Crossover distributions at the edge of the rarefaction fan
cites work: Renormalization fixed point of the KPZ universality class
cites work: Q3517536
cites work: The spectrum edge of random matrix ensembles.
cites work: On a classical limit of \(q\)-deformed Whittaker functions
cites work: Fluctuations of the one-dimensional polynuclear growth model with external sources
cites work: Replica approach to the KPZ equation with the half Brownian motion initial condition
cites work: Diffusion of directed polymers in a random environment.
cites work: Shape fluctuations and random matrices
cites work: Discrete polynuclear growth and determinantal processes
cites work: Course 1 Random matrices and determinantal processes
cites work: Dynamic Scaling of Growing Interfaces
cites work: A pedestrian's view on interacting particle systems, KPZ universality and random matrices
cites work: Q5440895
cites work: On the support of solutions to the heat equation with noise
cites work: Eigenvalue Distribution of Random Matrices at the Spectrum Edge
cites work: Directed polymers and the quantum Toda lattice
cites work: Brownian analogues of Burke's theorem.
cites work: The largest eigenvalue of small rank perturbations of Hermitian random matrices
cites work: Scale invariance of the PNG droplet and the Airy process
cites work: Scaling for a one-dimensional directed polymer with boundary conditions
cites work: Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
cites work: Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
cites work: Level-spacing distributions and the Airy kernel
cites work: A Fredholm determinant representation in ASEP
cites work: Integral formulas for the asymmetric simple exclusion process
cites work: Asymptotics in ASEP with step initial condition
cites work: On ASEP with step Bernoulli initial condition
cites work: Erratum to: ``Integral formulas for the asymmetric simple exclusion process''
DOI: 10.1002/CPA.21520
description: scientific article; zbMATH DE number 6303883