The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes

澳大利亚数学科学享有两个研究小组与积极的兴趣Painleve方程在应用数学能够解决困难的问题。 这样一个问题是给Sakai的2001年分类的Painleve方程的形式最适合的应用制定。对于这个链接将与一个看似不同的数学领域-从超几何正交多项式理论的阿斯基表。本建议提出了一些易于处理的博士项目。

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.