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  • 1
    Electronic Resource
    Electronic Resource
    On a spectral analysis for the Sierpinski gasket (1992)
    Springer
    Potential analysis 1 (1992), S. 1-35 
    Details
    ISSN: 1572-929X
    Keywords: 47A75 ; 31C25 ; Sierpinski gasket ; Laplacian ; Dirichlet form ; eigenvalue ; spectral dimension ; integrated density of states ; decimation method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00249784
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