On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals

Author:

Fukushima Masatoshi,Shima Tadashi

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference13 articles.

1. Brolin, H.: Invariant sets under iteration of rational functions. Ark. Mat.6, 103–144 (1965)

2. Fukushima, M.: Dirichlet forms, diffusion processes and spectral dimensions for nested fractals. In: Albeverio, S., Fenstad, J.E., Holden, H., Lindstrøm, T. (eds.), Ideas and Methods in Mathematical Analysis, Stochastics, and Applications, Vol.1. Cambridge: Cambridge Univ. Press, 1992, pp. 151–161

3. Fukushima, M., Nakao, S., Kotani, S.: Random spectrum. Seminar on Probability, Vol.45, 1977 (in Japanese)

4. Fukushima, M., Shima, T.: On a spectral analysis for the Sierpinski gasket. Potential Analysis1, 1–35 (1992)

5. Kigami, J., Lapidus, M.L.: Weyl's problem for the spectral distributions of Laplacians on p.c.f self-similar fractals. Commun. Math. Phys.158, 93–125 (1993)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Integrated density of states of self-similar Sturm–Liouville operators and holomorphic dynamics in higher dimension;Annales de l'Institut Henri Poincare (B) Probability and Statistics;2001-06

2. Pure Point Spectrum for the Laplacian on Unbounded Nested Fractals;Journal of Functional Analysis;2000-06

3. Diffusions on fractals;Lecture Notes in Mathematics;1998

4. On eigenvalue problems for Laplacians on P.C.F. self-similar sets;Japan Journal of Industrial and Applied Mathematics;1996-02

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