Monotone parameters on Cayley graphs of finitely generated groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929346696970240 |
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| author | Kassabov, Martin Pak, Igor |
| author_facet | Kassabov, Martin Pak, Igor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10870 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monotone parameters on Cayley graphs of finitely generated groups Kassabov, Martin Pak, Igor Group Theory Probability 20F69 (Primary), 20E08, 20P05, 60B15 (Secondary) 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. |
| title | Monotone parameters on Cayley graphs of finitely generated groups |
| topic | Group Theory Probability 20F69 (Primary), 20E08, 20P05, 60B15 (Secondary) |
| url | https://arxiv.org/abs/2404.10870 |