Discrete path integral approach to the Selberg trace formula for regular graphs

DOI10.1007/s00220-007-0257-8zbMath1142.58018arXivmath-ph/0609028OpenAlexW1990361724MaRDI QIDQ2460045

Yanyan Li

Publication date: 14 November 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0609028

zbMATH Keywords

path integralsSelberg trace formulagraphs

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Path integrals in quantum mechanics (81S40) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (13)

A note on the graph's resolvent and the multifilar structure ⋮ Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs ⋮ Clustering of spectra and fractals of regular graphs ⋮ The limit theorem with respect to the matrices on non-backtracking paths of a graph ⋮ Discrete diffusion-type equation on regular graphs and its applications ⋮ Heat kernels on regular graphs and generalized Ihara zeta function formulas ⋮ GRAPH-THEORY INDUCED GRAVITY AND STRONGLY-DEGENERATE FERMIONS IN A SELF-CONSISTENT EINSTEIN UNIVERSE ⋮ On discrete loop signatures and Markov loops topology ⋮ Gluing of graph Laplacians and their spectra ⋮ Trace formulas for Schrödinger operators on periodic graphs ⋮ Brownian loops topology ⋮ Periodic Walks on Large Regular Graphs and Random Matrix Theory ⋮ Discrete Graphs – A Paradigm Model for Quantum Chaos

Cites Work

• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Discrete path integral approach to the Selberg trace formula for regular graphs