Research Group:
Speaker:
Alexander Its
Institution:
Indiana University Purdue University, Indianapolis
Schedule:
Friday, May 11, 2018 - 14:00
Location:
A-136
Abstract:
We will discuss some new aspects of the theory of the Jimbo-Miwa-Ueno tau function which have come to light within the recent developments in the global asymptotic analysis of the tau functions related to the Painlev\'e equations. Specifically, we will show that up to the total differentials the logarithmic derivatives of the Painlev\'e tau functions coincide with the corresponding classical action differential. This fact simplifies considerably the evaluation of the constant factors in the asymptotics of tau-functions, which has been a long-standing problem of the asymptotic theory of Painlev\'e equations. The talk is based on the joint work with A. Prokhorov.