63 citations · 142 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
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…
Virasoro action on Schur function expansions, skew Young tableaux and random walks
M. Adler, P. van Moerbeke
It is known that some matrix integrals over U(n) satisfy an sl(2,R)-algebra of Virasoro constraints. Acting with these Virasoro generators on 2-dimensional Schur function expansion…