Amenability of trees
Combinatorics
2019-08-09 v1 Probability
Abstract
We will give a criterion for the amenability of arbitrary locally finite trees. The criterion is based on the trimming operator which is defined on the space of trees. As an application, we obtain a necessary and sufficient condition for that amenability of Galton-Watson trees.
Keywords
Cite
@article{arxiv.1610.09576,
title = {Amenability of trees},
author = {Behrang Forghani and Keivan Mallahi-Karai},
journal= {arXiv preprint arXiv:1610.09576},
year = {2019}
}