论文信息 - Dirichlet Forms and Brownian Motion Penetrating Fractals

Dirichlet Forms and Brownian Motion Penetrating Fractals

Can a Brownian motion penetrate the two-dimensional Sierpinski gasket? This question was studied in [8], and an affirmative answer was given. In this paper, the problem is studied with a different approach, using Dirichlet forms and function space theory. The results obtained are somewhat different from, and from certain aspects more general than, the results in [8].

Alf Jonsson | A. Jonsson

[1] A. Jonsson. Brownian motion on fractals and function spaces , 1996 .

[2] Tom Lindstrøm. BROWNIAN MOTION PENETRATING THE SIERPINSKI GASKET , 1990 .

[3] Tadashi Shima,et al. On a spectral analysis for the Sierpinski gasket , 1992 .

[4] Jaak Peetre,et al. Function spaces on subsets of Rn , 1984 .

[5] Reflecting Diffusions on Lipschitz Domains with Cusps -Analytic Construction and Skorohod Representation- , 1995 .

[6] M. Fukushima. Dirichlet forms and Markov processes , 1980 .

[7] L. Hedberg,et al. Function Spaces and Potential Theory , 1995 .