生成GUE关联函数系列
Generating series for GUE correlators
摘要：
本文将文[3，4]中的方法推广到Toda格族中，用相应的差分Lax算子的所谓矩阵预解式计算τ函数的对数导数。作为一个特殊的应用，我们得到了显式生成序列的连接GUE关联函数。在此基础上，发展了一种计算全亏格内关联函数的有效递归方法.
英文摘要：
We extend to the Toda lattice hierarchy the approach of [3, 4] to computation of logarithmic derivatives of tau-functions in terms of the so-called matrix resolvents of the corresponding differ- ence Lax operator. As a particular application we obtain explicit generating series for connected GUE correlators. On this basis an efficient recursive procedure for computing the correlators in full genera is developed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
