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Digitale Medien

On a spectral analysis for the Sierpinski gasket (1992)

Fukushima, M. ; Shima, T.

Springer

Potential analysis 1 (1992), S. 1-35

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Details

ISSN: 1572-929X

Schlagwort(e): 47A75 ; 31C25 ; Sierpinski gasket ; Laplacian ; Dirichlet form ; eigenvalue ; spectral dimension ; integrated density of states ; decimation method

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract A complete description of the eigenvalues of the Laplacian on the finite Sierpinski gasket is presented. We then demonstrate highly oscillatory behaviours of the distribution function of the eigenvalues, the integrated density of states (for the infinite gasket) and the spectrum of the Laplacian on the infinite gasket. The method has two ingredients: the decimation method in calculating eigenvalues due to Rammal and Toulouse and a simple description of the Dirichlet form associated with the Laplacian.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00249784

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