Thursday, July 4, 2013

1004.3212 (Patrik L. Ferrari)

Dimers and orthogonal polynomials: connections with random matrices    [PDF]

Patrik L. Ferrari
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.
View original:

No comments:

Post a Comment