Isoperimetric profiles and random walks on some groups defined by piecewise actions
| العنوان: | Isoperimetric profiles and random walks on some groups defined by piecewise actions |
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| المؤلفون: | Tianyi Zheng, Laurent Saloff-Coste |
| المصدر: | Probability Theory and Related Fields. 181:711-756 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Statistics and Probability, Group (mathematics), Mathematical finance, 010102 general mathematics, Permutation group, Random walk, 01 natural sciences, Combinatorics, 010104 statistics & probability, Simple (abstract algebra), Piecewise, Finitely-generated abelian group, 0101 mathematics, Statistics, Probability and Uncertainty, Isoperimetric inequality, Analysis, Mathematics |
| الوصف: | 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 $${\mathbb {S}}(G\cup \{*\})$$ . Some sharp estimates are obtained while many challenging questions remain. |
| تدمد: | 1432-2064 0178-8051 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::bd140713fbe6f867db06a9bf0364f7d9Test https://doi.org/10.1007/s00440-021-01067-zTest |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi...........bd140713fbe6f867db06a9bf0364f7d9 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14322064 01788051 |
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