Heat kernels on forms defined on a subgraph of a complete graph

DOI10.1007/s00208-021-02215-5zbMath1471.05059OpenAlexW3169595876MaRDI QIDQ2049969

Yong Lin, Sze-Man Ngai, Shing Tung Yau

Publication date: 27 August 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-021-02215-5

zbMATH Keywords

heat kernelLaplaciancomplete graph\(n\)-forms

Mathematics Subject Classification ID

Heat equation (35K05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete version of topics in analysis (39A12) Directed graphs (digraphs), tournaments (05C20) Heat kernel (35K08)

Cites Work

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• Heat kernels on regular graphs and generalized Ihara zeta function formulas
• On a cohomology of digraphs and Hochschild cohomology
• On the path homology theory of digraphs and Eilenberg-Steenrod axioms
• Cohomology of digraphs and (undirected) graphs
• Coverings, heat kernels and spanning trees
• Homologies of digraphs and Künneth formulas
• Sub-Gaussian estimates of heat kernels on infinite graphs
• Homotopy theory for digraphs
• Curvature and the eigenvalues of the Laplacian
• Curvature and the eigenforms of the Laplace operator
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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