Dirichlet forms on fractals: Poincaré constant and resistance

Author:

Kusuoka Shigeo,Yin Zhou Xian

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference7 articles.

1. Barlow, M.T., Bass, R.F.: Construction of Brownian motion on the Sierpinski carpet. Ann. Inst. Henri Poincaré25, 225–257 (1989)

2. Barlow, M.T., Bass, R.F.: On the resistence of the Sierpinski carpet. Proc. R. Soc. Lond., Ser. A431, 345–360 (1990)

3. Carlen, E.A., Kusuoka, S., Stroock, D.W.: Upper bounds for symmetric Markov transition functions. Ann. Inst. Henri Poincaré23, 245–287 (1987)

4. Kusuoka, S.: Lecture on diffusion processes on nested fractals. (Lect. Notes Math.) Berlin Heidelberg New York: Springer (to appear)

5. Lindstrøm, T.: Brownian motion on nested fractals. Mem. Am. Math. Soc.420, 1–128 (1990)

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