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Riemann surface for TASEP with periodic boundaries (2006.15096v2)
Published 26 Jun 2020 in cond-mat.stat-mech, math-ph, and math.MP
Abstract: The Bethe ansatz solution of periodic TASEP is formulated in terms of a ramified covering from a Riemann surface to the sphere. The joint probability distribution of height fluctuations at $n$ distinct times has in particular a relatively simple expression as a function of $n$ variables on the Riemann surface built from exponentials of Abelian integrals, traced over the ramified covering and integrated on $n$ nested contours in the complex plane.
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