关于与多重图相关的IWASAWA不变量的分布

Pub Date : 2022-07-14 DOI:10.1017/nmj.2023.18

C'edric Dion, Antonio Lei, Anwesh Ray, Daniel Vallières

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引用次数: 3

摘要

设$\ell $为质数。Iwasawa多图理论是对多图的阿贝尔$\ell $ -塔中生成树数目增长模式的系统研究。在这种情况下，增长模式是通过Iwasawa不变量的某些类似物实现的，这些不变量依赖于多图的素数$\ell $和阿贝尔$\ell $ -塔。我们制定和研究关于Iwasawa $\mu $和$\lambda $不变量行为的统计问题。

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ON THE DISTRIBUTION OF IWASAWA INVARIANTS ASSOCIATED TO MULTIGRAPHS

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 analogs of Iwasawa invariants, which depend on the prime

$\ell $

and the abelian

$\ell $

-tower of multigraphs. We formulate and study statistical questions about the behavior of the Iwasawa