63 citations · 142 across the 21 of their papers we have counts for
4 papers · 1 filter
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…
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…
Recursion relations for Unitary integrals, Combinatorics and the Toeplitz Lattice
Mark Adler Pierre van Moerbeke
The Toeplitz determinants (of increasing size) associated with the symbols or satisfy recursion relations, thus expressing all the T…
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum
Mark Adler, Pierre van Moerbeke
Given the Hermitian, symmetric and symplectic ensembles, it is shown that the probability that the spectrum belongs to one or several intervals satisfies a nonlinear PDE. This is d…