Volume and heat kernel fluctuations for the three-dimensional uniform spanning tree
Probability
2022-11-29 v1
Abstract
Let be the uniform spanning tree on . We show the occurrence of log-logarithmic fluctuations around the leading order for the volume of intrinsic balls in . As an application, we obtain similar fluctuations for the quenched heat kernel of the simple random walk on .
Cite
@article{arxiv.2211.15031,
title = {Volume and heat kernel fluctuations for the three-dimensional uniform spanning tree},
author = {Daisuke Shiraishi and Satomi Watanabe},
journal= {arXiv preprint arXiv:2211.15031},
year = {2022}
}
Comments
39 pages, 20 figures