On the distribution of Iwasawa invariants associated to multigraphs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866913252313661440 |
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| author | Dion, Cédric Lei, Antonio Ray, Anwesh Vallières, Daniel |
| author_facet | Dion, Cédric Lei, Antonio Ray, Anwesh Vallières, Daniel |
| contents | Let $\ell$ be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian $\ell$-towers of multigraphs. In this context, growth patterns are realized by certain analogues of Iwasawa invariants, which depend on the prime $\ell$ and the abelian $\ell$-tower of multigraphs. We formulate and study statistical questions about the behaviour of the Iwasawa $μ$ and $λ$ invariants. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2207_07213 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the distribution of Iwasawa invariants associated to multigraphs Dion, Cédric Lei, Antonio Ray, Anwesh Vallières, Daniel Combinatorics Number Theory 05C25, 11R23 (primary), 11R18, 11Z05 (secondary) Let $\ell$ be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian $\ell$-towers of multigraphs. In this context, growth patterns are realized by certain analogues of Iwasawa invariants, which depend on the prime $\ell$ and the abelian $\ell$-tower of multigraphs. We formulate and study statistical questions about the behaviour of the Iwasawa $μ$ and $λ$ invariants. |
| title | On the distribution of Iwasawa invariants associated to multigraphs |
| topic | Combinatorics Number Theory 05C25, 11R23 (primary), 11R18, 11Z05 (secondary) |
| url | https://arxiv.org/abs/2207.07213 |