Dimers and orthogonal polynomials: connections with random matrices
arXiv:1004.3212
Abstract
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.
Extended lecture notes of the minicourse at IHP (5-7 October 2009); Improved version
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