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

  • Tadashi Shima

DOI: 10.1007/BF03167188

Cite this article as:
Shima, T. Japan J. Indust. Appl. Math. (1991) 8: 127. doi:10.1007/BF03167188


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.

Key words

eigenvalues Sierpinski pre-gasket decimation method 

Copyright information

© JJIAM Publishing Committee 1991

Authors and Affiliations

  • Tadashi Shima
    • 1
  1. 1.Department of Mathematical Science, Faculty of Engineering ScienceOsaka UniversityOsakaJapan