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math-ph2016★ 10 cited
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…
math.PR2016
Airy point process at the liquid-gas boundary
Vincent Beffara, Sunil Chhita, Kurt Johansson
Domino tilings of the two-periodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations…