Eigenvalues of Laplacians on a Closed Riemannian Manifold and Its Nets

DOI10.2307/2161293zbMath0833.58039OpenAlexW4238542604MaRDI QIDQ4845998

Koji Fujiwara

Publication date: 7 September 1995

Full work available at URL: https://doi.org/10.2307/2161293

zbMATH Keywords

Laplacian\(\varepsilon\)-netsapproximation of eigenvaluesLaplace operator on graphs

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Matrix and operator functional equations (39B42)

Related Items (15)

Discrete Laplace-Beltrami operators and their convergence ⋮ Growth and the spectrum of the Laplacian of an infinite graph ⋮ Data Analytics on Graphs Part I: Graphs and Spectra on Graphs ⋮ Understanding Graph Neural Networks with Generalized Geometric Scattering Transforms ⋮ Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace-Beltrami operator ⋮ Minimal webs in Riemannian manifolds ⋮ Consistent approximations of several geometric differential operators and their convergence ⋮ A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes ⋮ Laplace-Beltrami operator on digital surfaces ⋮ Rigidity of Riemannian embeddings of discrete metric spaces ⋮ Convergence of discrete Laplace-Beltrami operators over surfaces ⋮ Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs ⋮ A graph discretization of the Laplace-Beltrami operator ⋮ Numerical integration on graphs: Where to sample and how to weigh ⋮ Hydrodynamic limit of the symmetric exclusion process on a compact Riemannian manifold

Cites Work

• The spectral geometry of \(k\)-regular groups
• Finite-Difference Approach to the Hodge Theory of Harmonic Forms
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Eigenvalues of Laplacians on a Closed Riemannian Manifold and Its Nets