The Sakai Scheme-Askey Table Correspondence, Analogues Of Isomonodromy And Determinantal Point Processes

Grant number: DP0988944 | Funding period: 2009 - 2012

Completed

Abstract

The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - the Askey table from the theory of hypergeometric orthogonal polynomials. A number of tractable PhD projects are suggested by this proposal.