A characterization of certain diffusions on the Sierpinski gasket by the exit distributions

Journal of Theoretical Probability

Volumn 9, Issue 2, 1996, Pages 335-352

  Vondraček, Zoran ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Diffusions; Sierpinski gasket; Time change

Indexed keywords

EID: 25944458602     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02214653     Document Type: Article

References (7)

1. Barlow, M. T., and Perkins, E. A. (1988). Brownian Motion on the Sierpinski Gasket. Prob. Th. Rel. Fields 79, 543-623.
2. Blumenthal, R. M., and Getoor, R. K. (1968). Markov Processes and Potential Theory, New York, Academic Press.
3. Hattori, K., Hattori, T., and Watanabe, H. (1994). Asymptotically one-dimensional diffusions on the Sierpinski gasket and the abc-gaskets. Prob. Th. Rel. Fields 100, 85-116.
4. Kumagai, T. (1993a). Construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket. In Elworthy, K. D., and Ikeda, N. (eds.). Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals, Pitman, pp. 219-247.
5. Kumagai, T. (1993b). Rotation invariance and characterization of a class of self similar diffusion processes on the Sierpinski gasket. Preprint.
6. Lindstrøm, T. (1990). Brownian motion on nested fractals. Mem. Amer. Math. Soc. 420, 1-128.
7. Vondraček, Z. (1992). A characterization of Brownian motion on Sierpinski spaces. In Port, S., Liggett, T., and Fitzsimmons, P. (eds.), Seminar on Stochastic Processes 1991, Birkhäuser, pp. 233-243.