Determinant density and biperiodic alternating links
Geometric Topology
2018-11-16 v2
Abstract
Let L be any infinite biperiodic alternating link. We show that for any sequence of finite links that Folner converges almost everywhere to L, their determinant densities converge to the Mahler measure of the 2-variable characteristic polynomial of the toroidal dimer model on an associated biperiodic graph.
Keywords
Cite
@article{arxiv.1604.03795,
title = {Determinant density and biperiodic alternating links},
author = {Abhijit Champanerkar and Ilya Kofman},
journal= {arXiv preprint arXiv:1604.03795},
year = {2018}
}
Comments
12 pages. V2: corrections in section 5