# Dimers and orthogonal polynomials: connections with random matrices - Mathematical Physics

Dimers and orthogonal polynomials: connections with random matrices - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: In these lecture notes we present some connections between random matrices,the asymmetric exclusion process, random tilings. These three apparentlyunrelated objects have sometimes a similar mathematical structure, aninterlacing structure, and the correlation functions are given in terms of akernel. In the basic examples, the kernel is expressed in terms of orthogonalpolynomials.

Author: ** Patrik L. Ferrari**

Source: https://arxiv.org/