تقرير
Monotone parameters on Cayley graphs of finitely generated groups
| العنوان: | Monotone parameters on Cayley graphs of finitely generated groups |
|---|---|
| المؤلفون: | Kassabov, Martin, Pak, Igor |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Probability, 20F69 (Primary), 20E08, 20P05, 60B15 (Secondary) |
| الوصف: | We construct a new large family of finitely generated groups with continuum many values of the following monotone parameters: spectral radius, critical percolation, and asymptotic entropy. We also present several open problems on other monotone parameters. Comment: In v2, Thm 1.2 is strengthened to close the gap. Also, we revised attributions, added references, expanded final and historical remarks; 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.10870 |
| رقم الأكسشن: | edsarx.2404.10870 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |