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Riemann surface for TASEP with periodic boundaries
Journal of Physics A: Mathematical and Theoretical ( IF 2.0 ) Pub Date : 2020-10-13 , DOI: 10.1088/1751-8121/abb389
Sylvain Prolhac

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.

中文翻译:

具有周期性边界的TASEP的黎曼曲面

周期性TASEP的Bethe ansatz解决方案是根据从Riemann曲面到球体的分叉覆盖范围制定的。高度波动在n个不同时间的联合概率分布尤其具有一个相对简单的表达式,该函数是Riemann曲面上n个变量的函数,该变量是根据阿贝尔积分的指数建立的,其遍历了分叉的覆盖层并集成在复杂平面中的n个嵌套轮廓上。
更新日期:2020-10-15
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