38 citations · 129 across the 36 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
math.CO2005
Rotational invariance of quadromer correlations on the hexagonal lattice
Mihai Ciucu
In 1963 Fisher and Stephenson \cite{FS} conjectured that the monomer-monomer correlation on the square lattice is rotationally invariant. In this paper we prove a closely related s…
math.CO2005★ 5 cited
Perfect matchings and perfect powers
Mihai Ciucu
In the last decade there have been many results about special families of graphs whose number of perfect matchings is given by perfect or near perfect powers. In this paper we pres…
math-ph2005★ 1 cited
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…