Abstract of "Dimers and orthogonal polynomials: connections with random matrices"
Extended lecture notes of the minicourse at IHP (5-7 Oct. 2009).
In these lecture notes we present some connections between random matrices, the asymmetric exclusion process, random tilings. These three apparently unrelated objects have (sometimes) a similar mathematical structure, an interlacing structure, and the correlation functions are given in terms of a kernel. In the basic examples, the kernel is expressed in terms of orthogonal polynomials.
Postscript file: [PS]
PDF file: [PDF]