Current moments of 1D ASEP by duality

Abstract

We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Schütz. For the ASEP on the infinite lattice we show that the $n$th moment is reduced to the problem of the ASEP with less than or equal to $n$ particles.

13 pages, no figure

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Cited by in corpus (21)

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• Stochastic higher spin vertex models on the line
• Microscopic structure of shocks and antishocks in the ASEP conditioned on low current
• Large deviations of a tracer in the symmetric exclusion process
• Directed random polymers via nested contour integrals
• Asymmetric stochastic transport models with ${\mathcal{U}}_q(\mathfrak{su}(1,1))$ symmetry
• An algebraic construction of duality functions for the stochastic U_q(A_n^{(1)}) vertex model and its degenerations
• Self-Duality for the Two-Component Asymmetric Simple Exclusion Process
• Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two
• A Multi-species ASEP(q,j) and q-TAZRP with Stochastic Duality
• Exact formulas for random growth with half-flat initial data
• Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz
• On dualities for SSEP and ASEP with open boundary conditions
• Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation
• Duality in stochastic processes from the viewpoint of basis expansions
• Solution of the Kolmogorov equation for TASEP
• Duality in quantum transport models
• Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals
• Markov duality and Bethe ansatz formula for half-line open ASEP
• Log-gamma directed polymer with one free end via coordinate Bethe Ansatz
• Numerical Estimation of the Current Large Deviation Function in the Asymmetric Simple Exclusion Process with Open Boundary Conditions