Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
From MaRDI portal
Publication:376566
DOI10.1007/s00220-013-1750-xzbMath1479.82112arXiv1206.4573OpenAlexW2018681324MaRDI QIDQ376566
Alexei Borodin, Ivan Corwin, Daniel Remenik
Publication date: 5 November 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.4573
Random matrices (probabilistic aspects) (60B20) Statistical mechanics of polymers (82D60) Laplace transform (44A10)
Related Items (64)
Invariance of polymer partition functions under the geometric RSK correspondence ⋮ Stochastic six-vertex model ⋮ Another look at the Balázs-Quastel-Seppäläinen theorem ⋮ Hall-Littlewood RSK field ⋮ Stochastic higher spin vertex models on the line ⋮ Determinantal structures in the O'Connell-Yor directed random polymer model ⋮ Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder ⋮ A Poincaré determinant on the torus ⋮ Second order cubic corrections of large deviations for perturbed random walks ⋮ On integrable directed polymer models on the square lattice ⋮ Localization in log-gamma polymers with boundaries ⋮ Airy Processes and Variational Problems ⋮ KPZ and Airy limits of Hall-Littlewood random plane partitions ⋮ Intermediate disorder regime for half-space directed polymers ⋮ Midpoint distribution of directed polymers in the stationary regime: exact result through linear response ⋮ A \(q\)-Robinson-Schensted-Knuth algorithm and a \(q\)-polymer ⋮ The endpoint distribution of directed polymers ⋮ The strict-weak lattice polymer ⋮ Fluctuations for stationary \(q\)-TASEP ⋮ Some algebraic structures in KPZ universality ⋮ Localization length of the \(1+1\) continuum directed random polymer ⋮ KPZ limit theorems ⋮ The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency ⋮ New approach to KPZ models through free fermions at positive temperature ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Francis Comets' Gumbel last passage percolation ⋮ Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions ⋮ Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point Beta polymer ⋮ Free energy fluctuations for a mixture of directed polymers ⋮ Two-point convergence of the stochastic six-vertex model to the Airy process ⋮ Integrable probability: from representation theory to MacDonald processes ⋮ Tropical combinatorics and Whittaker functions ⋮ Point-to-line polymers and orthogonal Whittaker functions ⋮ Macdonald processes ⋮ Quenched point-to-point free energy for random walks in random potentials ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ Correlation functions of the Schur process through Macdonald difference operators ⋮ Log-gamma directed polymer with fixed endpoints via the replica Bethe Ansatz ⋮ Log-gamma directed polymer with one free end via coordinate Bethe Ansatz ⋮ Stationary measures for two dual families of finite and zero temperature models of directed polymers on the square lattice ⋮ Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model ⋮ A PDE hierarchy for directed polymers in random environments ⋮ Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles ⋮ Random-walk in beta-distributed random environment ⋮ Spectral theory for the -Boson particle system ⋮ Order of the variance in the discrete Hammersley process with boundaries ⋮ Observables of Macdonald processes ⋮ Free field theory and observables of periodic Macdonald processes ⋮ Free field approach to the Macdonald process ⋮ Geometric RSK correspondence, Whittaker functions and symmetrized random polymers ⋮ Correlation functions of the Pfaffian Schur process using Macdonald difference operators ⋮ Fluctuations of the log-gamma polymer free energy with general parameters and slopes ⋮ Free energy distribution of the stationary O’Connell–Yor directed random polymer model ⋮ The \(q\)-TASEP with a random initial condition ⋮ Approximation property and nuclearity on mixed‐normLp, modulation and Wiener amalgam spaces ⋮ Fluctuation exponents for stationary exactly solvable lattice polymer models via a Mellin transform framework ⋮ The intermediate disorder regime for Brownian directed polymers in Poisson environment ⋮ Non-existence of bi-infinite polymers ⋮ Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape ⋮ Tracy-Widom fluctuations in 2D random Schrödinger operators ⋮ Lectures on integrable probability ⋮ Determinants and Plemelj-Smithies formulas ⋮ Local KPZ behavior under arbitrary scaling limits ⋮ Height fluctuations for the stationary KPZ equation
Cites Work
- Unnamed Item
- Crossover distributions at the edge of the rarefaction fan
- Directed polymers and the quantum Toda lattice
- Scaling for a one-dimensional directed polymer with boundary conditions
- Airy kernel with two sets of parameters in directed percolation and random matrix theory
- Asymptotics in ASEP with step initial condition
- Level-spacing distributions and the Airy kernel
- Endpoint distribution of directed polymers in \(1 + 1\) dimensions
- Tropical combinatorics and Whittaker functions
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Dynamic Scaling of Growing Interfaces
- Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
This page was built for publication: Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
