On eigenvalue problems for Laplacians on P.C.F. self-similar sets

Author:

Shima Tadashi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Reference12 articles.

1. M.T. Barlow, Random walks, electrical resistance, and nested fractals. Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (eds. K.D. Elworthy and N. Ikeda), Longman Sci. & Tec., 1993.

2. M.T. Barlow and J. Kigami, Localized eigenfunctions of the Laplacian on p.c.f. self-similar sets. Preprint.

3. M. Fukushima and T. Shima, On a spectral analysis for theSierpinski gasket. Potential Analysis,1 (1992), 1–35.

4. M. Fukushima and T. Shima, On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals. Comm. Math. Phys., to appear.

5. J. Kigami, Harmonic calculus on p.c.f. self-similar sets. Trans. Amer. Math. Soc.,335 (1993), 721–755.

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