On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
type: Item
instance of: scholarly article
title: On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
zbMATH Open document ID: 0715.60088
DOI: 10.1007/BF03167188
author: Tadashi Shima
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1991-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 4178283
zbMATH Keywords: eigenvalue problems
zbMATH Keywords: pre-gaskets
zbMATH Keywords: Sierpinski gasket
MaRDI profile type: Publication
cites work: A harmonic calculus on the Sierpinski spaces
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description: scientific article; zbMATH DE number 4178283