论文标题
带有周期性边界的tasep的黎曼表面
Riemann surface for TASEP with periodic boundaries
论文作者
论文摘要
周期性tasep的伯特·安萨兹溶液是根据从riemann表面到球体的覆盖范围的。在$ n $不同的时间，高度波动的联合概率分布特别简单，这是一个相对简单的表达，这是由Abelian积分指数构建的Riemann表面上的$ n $变量的函数，在复杂平面中的$ N $ nessed Countion上都集成了覆盖率。
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.
