38 citations · 129 across the 36 of their papers we have counts for
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The effect of microscopic gap displacement on the correlation of gaps in dimer systems
Mihai Ciucu
In earlier work we showed that in the bulk, the correlation of gaps in dimer systems on the hexagonal lattice is governed, in the fine mesh limit, by Coulomb's law for 2D electrost…
A triangular gap of size two in a sea of dimers on a angle
Mihai Ciucu, Ilse Fischer
We consider a triangular gap of side two in a angle on the triangular lattice whose sides are zig-zag lines. We study the interaction of the gap with the corner as the r…
Macroscopically separated gaps in dimer coverings of Aztec rectangles
Mihai Ciucu
In this paper we determine the interaction of diagonal defect clusters in regions of an Aztec rectangle that scale to arbitrary points on its symmetry axis (in earlier work we trea…
A triangular gap of size two in a sea of dimers in a angle with mixed boundary conditions, and a heat flow conjecture for the general case
Mihai Ciucu
We consider a triangular gap of side two in a angle on the triangular lattice with mixed boundary conditions: a constrained, zig-zag boundary along one side, and a free…
The emergence of the electrostatic field as a Feynman sum in random tilings with holes
Mihai Ciucu
We consider random lozenge tilings on the triangular lattice with holes in some fixed position. For each unit triangle not in a hole, consider the average orientation…
The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions
Mihai Ciucu
We define the correlation of holes on the triangular lattice under periodic boundary conditions and study its asymptotics as the distances between the holes grow to infinity. We pr…