On eigenvalue problems for the random walks on the Sierpinski pre-gaskets
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- Shima, T. Japan J. Indust. Appl. Math. (1991) 8: 127. doi:10.1007/BF03167188
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We work with increasing finite setsVm called pre-gaskets approximating the finite Sierpinski gasket located inRN−1 (N ≥ 3). The eigenvalues of the discrete Laplacian onVm under the Dirichlet and Neumann boundary conditions are completely determined using the decimation method due to Rammal.