Weighted prime geodesic theorems

2019/02/11 by Anton Deitmar, Deitmar, Anton
Computer Science · Mathematics · #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Matrix Theory and Algorithms #Number Theory (math.NT) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1902.03802

openalex publication_date 2019/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• A prime geodesic theorem for higher rank buildings
• A prime geodesic theorem for SL(4)
• Distribution of prime geodesic traces
• Prime geodesic theorem of Gallagher type
• A Subconvex Metaplectic Prime Geodesic Theorem and the Shimura Correspondence