Add to ORKGTwo-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 tilings projected from a D-dimensional space. We study the limiting case, when the quantity D, and therefore the number of different species of tiles, become large. We had previously demonstrated [M. Widom, N. Destainville, R
The problem of counting tilings by dominoes and other dimers and finding arithmetic significance in ...
Consider the following Markov chain, whose states are all domino tilings of a 2n \Theta 2n chessboar...
We establish central limit theorems for natural volumes of random inscribed polytopes in projective ...
Abstract. Spatial random permutations were originally studied due to their con-nections to Bose-Eins...
We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field t...
We establish a close relationship between isoperimetric inequalities for convex bodies and asymptoti...
We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field t...
A "dyadic rectangle" is a set of the form R = [a2 -s , (a+1)2 -s ][b2 -t , (b+1)2 -t ], wh...
Using the geodesic distance on the n-dimensional sphere, we study the expected radius function of th...
A grid region is (roughly speaking) a collection of “elementary cells” (squares, for example, or tri...
International audienceThe topological and metric properties of a few natural 2D random cellular stru...
The topological and metric properties of a few natural 2D random cellular structures, namely an arm...
28 pages, 4 figuresLet $K$ be a finite simplicial complex. We prove that the normalized expected Bet...
We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulation...
Random tilings are interesting as idealizations of atomistic models of quasicrystals and for their c...
The problem of counting tilings by dominoes and other dimers and finding arithmetic significance in ...
Consider the following Markov chain, whose states are all domino tilings of a 2n \Theta 2n chessboar...
We establish central limit theorems for natural volumes of random inscribed polytopes in projective ...
Abstract. Spatial random permutations were originally studied due to their con-nections to Bose-Eins...
We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field t...
We establish a close relationship between isoperimetric inequalities for convex bodies and asymptoti...
We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field t...
A "dyadic rectangle" is a set of the form R = [a2 -s , (a+1)2 -s ][b2 -t , (b+1)2 -t ], wh...
Using the geodesic distance on the n-dimensional sphere, we study the expected radius function of th...
A grid region is (roughly speaking) a collection of “elementary cells” (squares, for example, or tri...
International audienceThe topological and metric properties of a few natural 2D random cellular stru...
The topological and metric properties of a few natural 2D random cellular structures, namely an arm...
28 pages, 4 figuresLet $K$ be a finite simplicial complex. We prove that the normalized expected Bet...
We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulation...
Random tilings are interesting as idealizations of atomistic models of quasicrystals and for their c...
The problem of counting tilings by dominoes and other dimers and finding arithmetic significance in ...
Consider the following Markov chain, whose states are all domino tilings of a 2n \Theta 2n chessboar...
We establish central limit theorems for natural volumes of random inscribed polytopes in projective ...