Approximation of the spectrum of a manifold by discretizationReportar como inadecuado




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1 JAD - Laboratoire Jean Alexandre Dieudonné

Abstract : We approximate the spectral data eigenvalues and eigenfunctions of compact Riemannian manifold by the spectral data of a sequence of computable discrete Laplace operators associated to some graphs immersed in the manifold. We give an upper bound on the error that depends on upper bounds on the diameter and the sectional curvature and on a lower bound on the injectivity radius.





Autor: Erwann Aubry -

Fuente: https://hal.archives-ouvertes.fr/



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