关于与多重图相关的IWASAWA不变量的分布

IF 0.8 2区数学 Q2 MATHEMATICS Nagoya Mathematical Journal 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

$\mu $

and

$\lambda $

invariants.

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.

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