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arXiv · 2006.15096

Riemann surface for TASEP with periodic boundaries

Sylvain Prolhac
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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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BibTeXRIS

Sylvain Prolhac. 2020-06-26. Riemann surface for TASEP with periodic boundaries. https://doi.org/10.1088/1751-8121%2Fabb389

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