Superharmonic functions on the Lamplighter graph of Thompson's group F
Group Theory
2019-07-03 v1
Abstract
The goal is to extend a non-standard amenability test for groups, based on random walks and superharmonic functions, to group actions on sets, and to apply it to Thompson's group F using certain properties of extensive amenability. While no conclusive answer regarding the amenability of F is given, the approach is helpful in developing a new potentially useful criterion and testing it on a significant subclass of superharmonic functions.
Keywords
Cite
@article{arxiv.1907.01440,
title = {Superharmonic functions on the Lamplighter graph of Thompson's group F},
author = {Maksym Chornyi},
journal= {arXiv preprint arXiv:1907.01440},
year = {2019}
}