Loop measures and the Gaussian free field
Probability
2014-06-26 v3
Abstract
Loop measures and their associated loop soups are generally viewed as arising from finite state Markov chains. We generalize several results to loop measures arising from potentially complex edge weights. We discuss two applications: Wilson's algorithm to produce uniform spanning trees and an isomorphism theorem due to Le Jan.
Keywords
Cite
@article{arxiv.1403.4285,
title = {Loop measures and the Gaussian free field},
author = {Gregory F. Lawler and Jacob Perlman},
journal= {arXiv preprint arXiv:1403.4285},
year = {2014}
}
Comments
20 pages