114 citations · 943 across the 44 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…
Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder
J. Vidal, N. Destainville, R. Mosseri
We analyze the spreading of wavepackets in two-dimensional quasiperiodic and random tilings as a function of their codimension, i.e. of their topological complexity. In the quasipe…
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…