12 citations · 36 across the 6 of their papers we have counts for
6 papers
Transversal Cusp-Airy versus Cusp-Airy for Lozenge Tilings
Mark Adler, Pierre van Moerbeke
The fluctuations of lozenge tilings of hexagons with one or several cuts (nonconvexities) along opposite sides are governed by the (discrete-continuous) tacnode kernel ${\mathbb L}…
The AKS Theorem, A.C.I. Systems and Random Matrix Theory
Mark Adler, Pierre van Moerbeke
This paper gives the most general form of the Adler-Kostant-Symes Theorem, and many applications of it, both finite and infinite dimensional, the former yielding algebraic complete…
Probability distributions related to tilings of non-convex Polygons
Mark Adler, Pierre van Moerbeke
This paper is based on the study of random lozenge tilings of non-convex polygonal regions with interacting non-convexities (cuts) and the corresponding asymptotic kernel as in [3]…
Joint probability for the Pearcey process
Mark Adler, Pierre van Moerbeke
This paper is a step in the direction of understanding the behavior of non-intersecting Brownian motions on the real line, when the number of particles becomes large. Consider 2k n…
A PDE for the joint distributions of the Airy Process
Mark Adler, Pierre van Moerbeke
In this paper, we answer a question posed by Kurt Johansson, to find a PDE for the joint distribution of the Airy Process. The latter is a continuous stationary process, describing…
Symmetric random matrices and the Pfaff lattice
M. Adler, P. van Moerbeke
Consider a symmetric (finite) matrix ensemble, with a certain probability distribution. What is the probability that the spectrum belongs to a certain interval or union of interval…