30 citations · 66 across the 8 of their papers we have counts for
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cond-mat.stat-mech2003★ 6 cited
Random tilings of high symmetry: II. Boundary conditions and numerical studies
M. Widom, N. Destainville, R. Mosseri +1
We perform numerical studies including Monte Carlo simulations of high rotational symmetry random tilings. For computational convenience, our tilings obey fixed boundary conditions…
cond-mat.stat-mech2003★ 11 cited
Random tilings of high symmetry: I. Mean-field theory
N. Destainville, M. Widom, R. Mosseri +1
We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field theory yields reasonable predictions for the configurational entropy of free boun…
math.CO2003
A formula for the number of tilings of an octagon by rhombi
N. Destainville, R. Mosseri, F. Bailly
We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and gen…