Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case)
Combinatorics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We compute the probability of any local pattern at an arbitrary position in a random dimer configuration in a square grid with an Aztec-diamond boundary.
Cite
@article{arxiv.math/0007136,
title = {Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case)},
author = {Harald Helfgott},
journal= {arXiv preprint arXiv:math/0007136},
year = {2007}
}
Comments
41 pages, 28 figures