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On eigenvalue problems for the random walks on the Sierpinski pre- gaskets - MaRDI portal

On eigenvalue problems for the random walks on the Sierpinski pre- gaskets (Q751732)

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scientific article; zbMATH DE number 4178283
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English
On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
scientific article; zbMATH DE number 4178283

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    On eigenvalue problems for the random walks on the Sierpinski pre- gaskets (English)
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    1991
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    We work with increasing finite sets \(V_ m\) called pre-gaskets approximating the finite Sierpinski gasket located in \(R^{N-1}\) (N\(\geq 3)\). The eigenvalues of the discrete Laplacian on \(V_ m\) under the Dirichlet and Neumann boundary conditions are completely determined using the decimation method due to Rammal.
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    eigenvalue problems
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    pre-gaskets
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    Sierpinski gasket
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