117 citations · 646 across the 47 of their papers we have counts for
48 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}…
Double Interlacing in Random Tiling Models
Mark Adler, Pierre van Moerbeke
Random tilings of very large domains will typically lead to a solid, a liquid, and a gas phase. In the two-phase case, the solid-liquid boundary (arctic curve) is smooth, possibly…
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…
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]…
Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class
Mark Adler, Kurt Johansson, Pierre van Moerbeke
This paper investigates lozenge tilings of non-convex hexagonal regions and more specifically the asymptotic fluctuations of the tilings within and near the strip formed by opposit…