Isoperimetric profiles and random walks on some groups defined by piecewise actions

• 成果类型: Article
• 署名作者: Saloff-Coste, Laurent; Zheng, Tianyi
• 署名单位: Cornell University; University of California System; University of California San Diego
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-021-01067-z
• 发表日期: 2021
• 页码: 711-756
• 关键词: amenability; speed; permutation; entropy; GROWTH

摘要

We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple gluing of such. In one of our simplest constructions-the pocket-extension of a group G-this leads to the study of certain finitely generated subgroups of the full permutation group S(G boolean OR{*}). Some sharp estimates are obtained while many challenging questions remain.