On integrable directed polymer models on the square lattice
From MaRDI portal
Publication:3458279
DOI10.1088/1751-8113/48/46/465001zbMath1334.82028arXiv1506.05006OpenAlexW3105945411MaRDI QIDQ3458279
Thimothée Thiery, Pierre Le Doussal
Publication date: 18 December 2015
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.05006
Statistical mechanics of polymers (82D60) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (22)
An appetizer to modern developments on the Kardar-Parisi-Zhang universality class ⋮ On the stationary solutions of random polymer models and their zero-temperature limits ⋮ Midpoint distribution of directed polymers in the stationary regime: exact result through linear response ⋮ The endpoint distribution of directed polymers ⋮ Uniqueness and ergodicity of stationary directed polymers on \(\mathbb{Z}^2\) ⋮ Upper tail bounds for stationary KPZ models ⋮ Directed random polymers via nested contour integrals ⋮ Non-compact quantum spin chains as integrable stochastic particle processes ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point Beta polymer ⋮ Localization in Gaussian disordered systems at low temperature ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ 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 ⋮ Characterizing stationary \(1+1\) dimensional lattice polymer models ⋮ Parameter permutation symmetry in particle systems and random polymers ⋮ Fluctuation lower bounds in planar random growth models ⋮ Fluctuation exponents for stationary exactly solvable lattice polymer models via a Mellin transform framework ⋮ Concentration for integrable directed polymer models ⋮ Borodin-Péché fluctuations of the free energy in directed random polymer models ⋮ Hidden diagonal integrability of q-Hahn vertex model and beta polymer model ⋮ Central moments of the free energy of the stationary O'Connell-Yor polymer
Cites Work
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- Directed polymers and the quantum Toda lattice
- From duality to determinants for \(q\)-TASEP and ASEP
- Exact height distributions for the KPZ equation with narrow wedge initial condition
- Scaling for a one-dimensional directed polymer with boundary conditions
- On ASEP with step Bernoulli initial condition
- Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
- Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
- Exact scaling functions for one-dimensional stationary KPZ growth
- Level-spacing distributions and the Airy kernel
- Scale invariance of the PNG droplet and the Airy process
- Limiting distributions for a polynuclear growth model with external sources
- Brownian analogues of Burke's theorem.
- Shape fluctuations and random matrices
- Macdonald processes
- On the integrability of zero-range chipping models with factorized steady states
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Dynamic Scaling of Growing Interfaces
- Study of Exactly Soluble One-Dimensional N-Body Problems
- Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
- Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
- The crossover regime for the weakly asymmetric simple exclusion process
This page was built for publication: On integrable directed polymer models on the square lattice