Isoperimetric profiles and random walks on some groups defined by piecewise actions
Probability
2020-09-01 v1
Abstract
We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple {\em gluing} of such. In one of our simplest constructions---the {\em pocket-extension} of a group ---this leads to the study of certain finitely generated subgroups of the full permutation group . Some sharp estimates are obtained while many challenging questions remain.
Cite
@article{arxiv.2008.12872,
title = {Isoperimetric profiles and random walks on some groups defined by piecewise actions},
author = {Laurent Saloff-Coste-Costeb and Tianyi Zheng},
journal= {arXiv preprint arXiv:2008.12872},
year = {2020}
}