Laplacian, on the Sierpinski tetrahedron
Résumé
Following the approach of J. Kigami and R. S. Strichartz, we hereafter present a detailed construction of a Laplacian on the Sierpinski Tetrahedron ST. We go so far as giving the explicit spectrum of the Laplacian, with a specific presentation of the first eigenvalues. This enables us to obtain an estimate of the spectral counting function (analogous of Weyl's law).
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