The parametrix construction of the heat kernel on a graph

DOI10.1007/s11785-024-01612-3MaRDI QIDQ6640706

Anders Karlsson, Jay A. Jorgenson, Lejla Smajlovic, Gautam Chinta

Publication date: 20 November 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

graphsBessel functionsparametrixheat kernels

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

• On uniqueness class for a heat equation on graphs
• A graph discretization of the Laplace-Beltrami operator
• Heat kernels on forms defined on a subgraph of a complete graph
• Discrete tori and trigonometric sums
• On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel
• Spectral asymptotics on sequences of elliptically degenerating Riemann surfaces
• Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature
• Graphs and Discrete Dirichlet Spaces
• A Generalization of Epstein Zeta Functions
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
• The resolvent kernel on the discrete circle and twisted cosecant sums
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