تقرير
Monotone parameters on Cayley graphs of finitely generated groups
العنوان: | Monotone parameters on Cayley graphs of finitely generated groups |
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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. |