Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries

DOI10.1214/18-AIHP945zbMath1434.60066arXiv1707.07350OpenAlexW3100643208MaRDI QIDQ2291967

Yizao Wang, Wlodzimierz Bryc

Publication date: 31 January 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07350

zbMATH Keywords

Laplace transformphase transitionscaling limitBrownian excursionasymmetric simple exclusion processBrownian meandertangent processAskey-Wilson process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (9)

Half-space stationary Kardar-Parisi-Zhang equation ⋮ Markov processes related to the stationary measure for the open KPZ equation ⋮ Mixing times for the TASEP in the maximal current phase ⋮ Stationary measure for six-vertex model on a strip ⋮ From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval ⋮ Stationary measure for the open KPZ equation ⋮ Some recent progress on the stationary measure for the open KPZ equation ⋮ Unnamed Item ⋮ Spectral gaps of open TASEP in the maximal current phase

Cites Work

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• Nonequilibrium fluctuations of one-dimensional boundary driven weakly asymmetric exclusion processes
• The Matrix Ansatz, orthogonal polynomials, and permutations
• Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state
• Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models
• Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas
• Askey-Wilson polynomials, quadratic harnesses and martingales
• The asymmetric exclusion process and Brownian excursions
• Interaction of Markov processes
• Techniques of multivariate calculation
• Weak convergence to Brownian meander and Brownian excursion
• Brownian motion, bridge excursion, and meander characterized by sampling at independent uniform times
• Processes with free increments
• An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
• Dual representations of Laplace transforms of Brownian excursion and generalized meanders
• Extremes of \(q\)-Ornstein-Uhlenbeck processes
• Large deviation functional of the weakly asymmetric exclusion process
• Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
• Local times and excursion theory for Brownian motion. A tale of Wiener and Itô measures
• Asymmetric simple exclusion process with open boundaries and quadratic harnesses
• Fluctuations in the weakly asymmetric exclusion process with open boundary conditions
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• A note on moment generating functions
• Phase transitions in an exactly soluble one-dimensional exclusion process
• The local structure of $q$-Gaussian processes
• Quadratic harnesses, $q$-commutations, and orthogonal martingale polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries
• THE LOCAL STRUCTURE OF RANDOM PROCESSES
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Open ASEP in the Weakly Asymmetric Regime
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries
• Nonequilibrium steady states of matrix-product form: a solver's guide
• A Note on the Theory of Moment Generating Functions

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