Weighted graphs and complex Gaussian free fields
Probability
2018-04-04 v2
Abstract
We prove a combinatorial lemma about the distribution of directed currents in a complex "loop soup" and use it to give a new proof of the isomorphism relating loop measures and complex Gaussian fields.
Keywords
Cite
@article{arxiv.1803.11489,
title = {Weighted graphs and complex Gaussian free fields},
author = {Gregory F. Lawler and Petr Panov},
journal= {arXiv preprint arXiv:1803.11489},
year = {2018}
}
Comments
13 pages