Approximating the stationary distribution of the ASEP with open boundaries

Abstract

We investigate the stationary distribution of asymmetric and weakly asymmetric simple exclusion processes with open boundaries. We project the stationary distribution onto a subinterval, whose size is allowed to grow with the length of the underlying segment. Depending on the boundary parameters of the exclusion process, we provide conditions such that the stationary distribution projected onto a subinterval is close in total variation distance to a product measure.

61 pages, 8 figures

References in corpus (11)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
• Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
• Matrix Product Steady States as Superposition of Product Shock Measures in 1D Driven Systems
• Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
• A reverse duality for the ASEP with open boundaries
• Stationary measures of the KPZ equation on an interval from Enaud-Derrida's matrix product ansatz representation
• Boundary current fluctuations for the half space ASEP and six vertex model
• Askey-Wilson signed measures and open ASEP in the shock region
• Fluctuations of random Motzkin paths II

Cited by in corpus (4)

• Askey-Wilson signed measures and open ASEP in the shock region
• A two-line representation of stationary measure for open TASEP
• Stationary Distribution of open Asymmetric Simple Exclusion Processes on an Interval as a marginal of a two-layer ensemble
• Limits of open ASEP stationary measures near a boundary