Fixed Price of Groups and Percolation
Dynamical Systems
2018-09-10 v1 Probability
Abstract
We prove that for every finitely generated group , at least one of the following holds: (1) has fixed price; (2) each of its Cayley graphs has infinitely many infinite clusters for some Bernoulli percolation on .
Keywords
Cite
@article{arxiv.1109.5418,
title = {Fixed Price of Groups and Percolation},
author = {Russell Lyons},
journal= {arXiv preprint arXiv:1109.5418},
year = {2018}
}
Comments
3 pp