Stochastic integrability and the KPZ equation
arXiv:1204.2657
Abstract
The emerging field of stochastic integrability is outlined.
published in IAMP News Bulletin, April 2012
References in corpus (9)
- Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
- The one-dimensional KPZ equation: an exact solution and its universality
- Free-energy distribution of the directed polymer at high temperature
- Growing interfaces uncover universal fluctuations behind scale invariance
- Bethe anzats derivation of the Tracy-Widom distribution for one-dimensional directed polymers
- An exact solution for the KPZ equation with flat initial conditions
- Exact height distributions for the KPZ equation with narrow wedge initial condition
- The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class
- The One-dimensional KPZ Equation and the Airy Process
Cited by in corpus (8)
- Nonlinear fluctuations of weakly asymmetric interacting particle systems
- From duality to determinants for q-TASEP and ASEP
- The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
- Finite-time fluctuations for the totally asymmetric exclusion process
- Ratios of partition functions for the log-gamma polymer
- Fluctuation exponents for directed polymers in the intermediate disorder regime
- Variational formulas and cocycle solutions for directed polymer and percolation models
- Quadratic Fluctuations of the Simple Exclusion Process