On the distribution of Iwasawa invariants associated to multigraphs

Abstract

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 $\mu$ and $\lambda$ invariants.

Incorporated referee's suggestions. Accepted for publication in the Nagoya Math J

References in corpus (1)

• On ${\mathbb{Z}}_{\ell }^d$-towers of graphs

Cited by in corpus (2)

• On the Iwasawa theory of Cayley graphs
• On the distribution of eigenvalues in families of Cayley graphs