Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints
From MaRDI portal
Publication:3301301
DOI10.1088/1742-5468/2012/11/P11014zbMath1456.82249arXiv1209.3603MaRDI QIDQ3301301
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.3603
Related Items (25)
KP governs random growth off a 1-dimensional substrate ⋮ Half-space stationary Kardar-Parisi-Zhang equation ⋮ Lower tail of the KPZ equation ⋮ The \(q\)-PushASEP: a New Integrable Model for Traffic in \(1+1\) dimension ⋮ Renormalization fixed point of the KPZ universality class ⋮ The one-dimensional KPZ equation and its universality class ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ A multi-layer extension of the stochastic heat equation ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ How flat is flat in random interface growth? ⋮ Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential ⋮ Two-time free energy distribution function in (1 + 1) directed polymers ⋮ Interaction quench in a Lieb–Liniger model and the KPZ equation with flat initial conditions ⋮ Two-time distribution functions in the Gaussian model of randomly forced Burgers turbulence ⋮ Zero temperature limit for (1 + 1) directed polymers with correlated random potential ⋮ Tail of the two-time height distribution for KPZ growth in one dimension ⋮ Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz ⋮ On global solutions of the random Hamilton–Jacobi equations and the KPZ problem ⋮ Stationary measures for two dual families of finite and zero temperature models of directed polymers on the square lattice ⋮ Higher spin six vertex model and symmetric rational functions ⋮ Lifshitz tails at spectral edge and holography with a finite cutoff ⋮ Fractional moments of the stochastic heat equation ⋮ The intermediate disorder regime for Brownian directed polymers in Poisson environment ⋮ Lectures on integrable probability ⋮ Height fluctuations for the stationary KPZ equation
Cites Work
- Unnamed Item
- Exact height distributions for the KPZ equation with narrow wedge initial condition
- On orthogonal and symplectic matrix ensembles
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Bethe ansatz solution for one-dimensional directed polymers in random media
- Two-point generating function of the free energy for a directed polymer in a random medium
- The one-dimensional KPZ equation and the Airy process
- Dynamic Scaling of Growing Interfaces
- Study of Exactly Soluble One-Dimensional N-Body Problems
- 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: Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints