Critical resonance in the non-intersecting lattice path model
Probability
2007-05-23 v4 Condensed Matter
Combinatorics
Abstract
We study the phase transition in the honeycomb dimer model (equivalently, monotone non-intersecting lattice path model). At the critical point the system has a strong long-range dependence; in particular, periodic boundary conditions give rise to a ``resonance'' phenomenon, where the partition function and other properties of the system depend sensitively on the shape of the domain.
Cite
@article{arxiv.math/0111199,
title = {Critical resonance in the non-intersecting lattice path model},
author = {Richard W. Kenyon and David B. Wilson},
journal= {arXiv preprint arXiv:math/0111199},
year = {2007}
}
Comments
28 pages, 6 figures. v4 has changes suggested by referee