8 citations · 12 across the 2 of their papers we have counts for
3 papers
math-ph2023★ 4 cited
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…
math-ph2017★ 8 cited
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…
math-ph2016
Tilings of non-convex Polygons, skew-Young Tableaux and determinantal Processes
Mark Adler, Kurt Johansson, Pierre van Moerbeke
This paper studies random lozenge tilings of general non-convex polygonal regions. We show that the pairwise interaction of the non-convexities leads asymptotically to new kernels…