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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.PR2017
Edge fluctuations of limit shapes
Kurt Johansson
In random tiling and dimer models we can get various limit shapes which gives the boundaries between different types of phases. The shape fluctuations at these boundaries give rise…