The heat kernel on the diagonal for a compact metric graph

DOI10.1007/s00023-022-01248-zzbMath1517.34038arXiv2204.06619OpenAlexW4309646546MaRDI QIDQ6038734

Evans M. II. Harrell, Kenny Jones, David Borthwick

Publication date: 3 May 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06619

Mathematics Subject Classification ID

Graph theory (05C99) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Comparing the spectrum of Schrödinger operators on quantum graphs

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
• No quantum ergodicity for star graphs
• Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra
• Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold
• The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions
• An elementary introduction to quantum graphs
• Spectral Theory
• Index theorems for quantum graphs
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