63 citations · 142 across the 21 of their papers we have counts for
18 papers
A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec Rectangles
Mark Adler, Kurt Johansson, Pierre van Moerbeke
Random tilings of geometrical shapes with dominos or lozenges have been a rich source of universal statistical distributions. This paper deals with domino tilings of checker board…
Tacnode GUE-minor Processes and Double Aztec Diamonds
Mark Adler, Sunil Chhita, Kurt Johansson +1
We study random domino tilings of a Double Aztec diamond, a region consisting of two overlapping Aztec diamonds. The random tilings give rise to two discrete determinantal point pr…
A PDE for Nonintersecting Brownian Motions and Applications
Mark Adler, Jonathan Delepine, Pierre van Moerbeke +1
Consider non-intersecting Brownian motions on the real line, starting from the origin at t=0, with a number of particles forced to reach p distinct target points at time t=1. This…
Random and Integrable Models in Mathematics and Physics
Pierre van Moerbeke
This set of Montreal lectures is an elementary and sketchy introduction to the general field of random matrices. The first half is devoted to combinatorial models, whereas the seco…
Moment matrices and multi-component KP, with applications to random matrix theory
Mark Adler, Pierre van Moerbeke, Pol Vanhaecke
Questions on random matrices and on non-intersecting Brownian motions have led to the study of moment matrices with regard to several weights. The purpose of this paper is to show…
PDEs for the joint distributions of the Dyson, Airy and Sine processes
Mark Adler, Pierre van Moerbeke
In a celebrated paper, Dyson shows that the spectrum of an n\times n random Hermitian matrix, diffusing according to an Ornstein-Uhlenbeck process, evolves as n noncolliding Browni…