Tau-function of discrete isomonodromy transformations and probability

Details Tau-function of discrete isomonodromy transformations and probability Tau-function of discrete isomonodromy transformations and probability

2007-06-21

arxiv.org/abs/0706.3073v1

Compositio Math. 145 (2009) 747-772

Mathematics

Algebraic Geometry

26 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Tau-function of discrete isomonodromy transformations and probability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tau-function of discrete isomonodromy transformations and probability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tau-function of discrete isomonodromy transformations and probability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192352