Approximating the stationary distribution of the ASEP with open boundaries

Central limit and other weak theorems (60F05) Combinatorial aspects of representation theory (05E10) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
Combinatorics of the three-parameter PASEP partition function
Small deviations for beta ensembles
Enumeration of totally positive Grassmann cells
The TASEP speed process
Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
A combinatorial derivation of the PASEP stationary state
Order of current variance and diffusivity in the asymmetric simple exclusion process
Askey-Wilson polynomials, quadratic harnesses and martingales
The asymmetric exclusion process and Brownian excursions
Interaction of Markov processes
Coupling the simple exclusion process
Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process
Pfaffian Schur processes and last passage percolation in a half-quadrant
Combinatorics of the two-species ASEP and Koornwinder moments
Current fluctuations of the stationary ASEP and six-vertex model
The KPZ limit of ASEP with boundary
Large deviation functional of the weakly asymmetric exclusion process
A note on the diffusion of directed polymers in a random environment
Temporal correlation in last passage percolation with flat initial condition via Brownian comparison
Cutoff profile of ASEP on a segment
Stationary distributions of the multi-type ASEP
A determinantal formula for Catalan tableaux and TASEP probabilities
Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries
Combinatorics of the asymmetric exclusion process on a semi-infinite lattice
Stationary distributions of multi-type totally asymmetric exclusion processes
Asymmetric simple exclusion process with open boundaries and quadratic harnesses
Fluctuations of random Motzkin paths
Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling
Tableaux combinatorics for the asymmetric exclusion process
A renewal theory approach to periodic copolymers with adsorption
Two-species asymmetric simple exclusion process with open boundaries
The stationary measure of a 2-type totally asymmetric exclusion process.
Mixing time and cutoff for the weakly asymmetric simple exclusion process
The ASEP speed process
Tableaux combinatorics for two-species PASEP probabilities
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
The Kardar-Parisi-Zhang equation and universality class
Random Walk: A Modern Introduction
Ergodic Theorems for the Asymmetric Simple Exclusion Process
Finite-dimensional representations of the quadratic algebra: Applications to the exclusion process
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
Matrix ansatz for the fluctuations of the current in the ASEP with open boundaries
Combinatorial mappings of exclusion processes
The combinatorics of hopping particles and positivity in Markov chains
Coalescence of geodesics in exactly solvable models of last passage percolation
The corner growth model with exponential weights
Nonequilibrium steady states of matrix-product form: a solver's guide
Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation
Markov processes related to the stationary measure for the open KPZ equation
Mixing times for the simple exclusion process with open boundaries
Mixing times for the TASEP in the maximal current phase
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
Mixing times and cutoff for the TASEP in the high and low density phase

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