Tau-function of discrete isomonodromy transformations and probability
Algebraic Geometry
2014-01-14 v1 Mathematical Physics
math.MP
Probability
Abstract
We introduce the tau-function of a rational d-connection and its isomonodromy transformations. We show that in a continuous limit our tau-function agrees with the Jimbo-Miwa-Ueno tau-function, compute the tau-function for the isomonodromy transformations leading to difference Painleve V and difference Painleve VI equations, and prove that the gap probability for a wide class of discrete random matrix type models can be viewed as the tau-function for an associated d-connection.
Keywords
Cite
@article{arxiv.0706.3073,
title = {Tau-function of discrete isomonodromy transformations and probability},
author = {D. Arinkin and A. Borodin},
journal= {arXiv preprint arXiv:0706.3073},
year = {2014}
}