Random walks on the discrete affine group
| العنوان: | Random walks on the discrete affine group |
|---|---|
| المؤلفون: | Ryokichi Tanaka, Jérémie Brieussel, Tianyi Zheng |
| المساهمون: | Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Tohoku University [Sendai] |
| سنة النشر: | 2017 |
| مصطلحات موضوعية: | Pure mathematics, Group (mathematics), Probability (math.PR), Group Theory (math.GR), Space (mathematics), Random walk, Mathematics::Group Theory, Mathematics::Probability, Compression (functional analysis), Metric (mathematics), Affine group, Exponent, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics::Metric Geometry, Geometry and Topology, Isoperimetric inequality, [MATH]Mathematics [math], Mathematics - Group Theory, Mathematics - Probability, Mathematics |
| الوصف: | We introduce the discrete affine group of a regular tree as a finitely generated subgroup of the affine group. We describe the Poisson boundary of random walks on it as a space of configurations. We compute isoperimetric profile and Hilbert compression exponent of the group. We also discuss metric relationship with some lamplighter groups and lamplighter graphs. The introduction has been rewritten |
| اللغة: | English |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::613c62286c902a22fc4b3339f19c6788Test http://arxiv.org/abs/1703.07741Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....613c62286c902a22fc4b3339f19c6788 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |