Combinatorial Identities from the Spectral Theory of Quantum Graphs

2000/03/27 by Holger Schanz, Schanz, Holger, Uzy Smilansky +1 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #History and advancements in chemistry #Mathematical Physics (math-ph) #math-ph #math.CO #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0003037

16 pages, RevTeX, 1 figure

arxiv created 2000/03/27 · openalex publication_date 2000/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a few combinatorial identities which were encountered in our work on the spectral theory of quantum graphs. They establish a new connection between the theory of random matrix ensembles and combinatorics.

Cited by

• Spectral statistics of preferred orientation quantum graphs

Related

• Periodic orbit theory and spectral statistics for scaling quantum graphs
• Spectral statistics for scaling quantum graphs
• On a Combinatorial Identity
• Quantum Graphs via Exercises
• Explicit Spectral formulae for scaling quantum graphs