2 papers
math-ph2019
Connection probabilities in the double-dimer model -- the case of two connectivity patterns
Nahid Ghodratipour, Shahin Rouhani
We apply the Grassmannian representation of the dimer model, an equivalent approach to Kasteleyn's solution to the close-packed dimer problem, to calculate the connection probabili…
cond-mat.stat-mech2018
The expectation value of the number of loops and the left-passage probability in the double-dimer model
Nahid Ghodratipour, Shahin Rouhani
We study various statistical properties of the double-dimer model, a generalization of the dimer model, on rectangular domains of the square lattice. We take advantage of the Grass…