30 citations · 66 across the 8 of their papers we have counts for
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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…
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…
Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions
M. Widom, R. Mosseri, N. Destainville +1
Three-dimensional integer partitions provide a convenient representation of codimension-one three-dimensional random rhombus tilings. Calculating the entropy for such a model is a…
Fixed-boundary octagonal random tilings: a combinatorial approach
N. Destainville, R. Mosseri, F. bailly
Some combinatorial properties of fixed boundary rhombus random tilings with octagonal symmetry are studied. A geometrical analysis of their configuration space is given as well as…
Two-dimensional random tilings of large codimension: new progress
N. Destainville, M. Widom, R. Mosseri +1
Two-dimensional random tilings of rhombi can be seen as projections of two-dimensional membranes embedded in hypercubic lattices of higher dimensional spaces. Here, we consider til…