Asymptotic behaviour of the Hodge Laplacian spectrum on graph-like manifolds

DOI10.4171/JST/168zbMath1373.58014arXiv1502.02951OpenAlexW2962786667WikidataQ125997531 ScholiaQ125997531MaRDI QIDQ2361000

Michela Egidi, Olaf Post

Publication date: 29 June 2017

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02951

zbMATH Keywords

differential formsspectral gapsHodge Laplacianmetric graphseigenvalues asymptoticsgraph-like manifolds

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spectral theory; eigenvalue problems on manifolds (58C40)

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The spectra of digraphs with Morita equivalent \(C^\ast\)-algebras

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