Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process
arXiv:1003.3431 · doi:10.1063/1.3431977
Abstract
In earlier work the authors obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here formulas are obtained for joint probabilities for several particles. In the case of a single particle the derivation here is simpler than the one in the earlier work for one of its main results.
15 pages. Version 3 adds references and improves the exposition.
References in corpus (15)
- Shape Fluctuations and Random Matrices
- 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
- Discrete polynuclear growth and determinantal processes
- Determinantal random point fields
- Asymptotics in ASEP with Step Initial Condition
- Fluctuation properties of the TASEP with periodic initial configuration
- Exact Solution of the Master Equation for the Asymmetric Exclusion Process
- Exact height distributions for the KPZ equation with narrow wedge initial condition
- Scaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process
- Integral Formulas for the Asymmetric Simple Exclusion Process
- Transition between Airy_1 and Airy_2 processes and TASEP fluctuations
- The crossover regime for the weakly asymmetric simple exclusion process
- Total Current Fluctuations in ASEP
- On ASEP with Step Bernoulli Initial Condition
Cited by in corpus (8)
- Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Directed polymers and the quantum Toda lattice
- Some Exact Results for the Exclusion Process
- A multi-layer extension of the stochastic heat equation
- Current moments of 1D ASEP by duality
- Formulas and Asymptotics for the Asymmetric Simple Exclusion Process
- Blocks in the Asymmetric Simple Exclusion Process