Weighted prime geodesic theorems
Number Theory
2019-02-12 v1 Combinatorics
Spectral Theory
Abstract
Prime geodesic theorems for weighted infinite graphs and weighted building quotients are given. The growth rates are expressed in terms of the spectral data of suitable translation operators inspired by a paper of Bass.
Cite
@article{arxiv.1902.03802,
title = {Weighted prime geodesic theorems},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:1902.03802},
year = {2019}
}