Stochastic homogenization of horospheric tree products
Probability
2009-06-30 v1
Abstract
We construct measures invariant with respect to equivalence relations which are graphed by horospheric products of trees. The construction is based on using conformal systems of boundary measures on treed equivalence relations. The existence of such an invariant measure allows us to establish amenability of horospheric products of random trees.
Cite
@article{arxiv.0906.5296,
title = {Stochastic homogenization of horospheric tree products},
author = {Vadim A. Kaimanovich and Florian Sobieczky},
journal= {arXiv preprint arXiv:0906.5296},
year = {2009}
}