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Volumn 12, Issue 2, 2003, Pages 203-222

The average displacement of the simple random walk on the Sierpiński graph

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; GREEN'S FUNCTION; PROBABILITY; THEOREM PROVING;

EID: 0037658468     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548302005540     Document Type: Article
Times cited : (15)

References (18)
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  • 6
    • 0002832308 scopus 로고
    • On a spectral analysis for the Sierpiński gasket
    • Fukushima, M. and Shima, T. (1992) On a spectral analysis for the Sierpiński gasket. Potential Analysis 1 1-35.
    • (1992) Potential Analysis , vol.1 , pp. 1-35
    • Fukushima, M.1    Shima, T.2
  • 7
    • 0001582569 scopus 로고
    • Random walks and diffusions on fractals
    • Percolation Theory and Ergodic Theory of Infinite Particle Systems., Springer
    • Goldstein, S. (1987) Random walks and diffusions on fractals. In Percolation Theory and Ergodic Theory of Infinite Particle Systems., Vol. 8 of IMA Volumes in Mathematics and its Applications, Springer, pp. 121-129.
    • (1987) IMA Volumes in Mathematics and its Applications , vol.8 , pp. 121-129
    • Goldstein, S.1
  • 8
    • 0346446093 scopus 로고    scopus 로고
    • Functional iterations and stopping times for Brownian motion on the Sierpiński gasket
    • Grabner, P. J. (1997) Functional iterations and stopping times for Brownian motion on the Sierpiński gasket. Mathematika 44 374-400.
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    • Grabner, P.J.1
  • 9
    • 0031592716 scopus 로고    scopus 로고
    • Functional iterations and periodic oscillations for simple random walk on the Sierpiński graph
    • Grabner, P. J. and Woess, W. (1997) Functional iterations and periodic oscillations for simple random walk on the Sierpiński graph. Stoch. Proc. Appl. 69 127-138.
    • (1997) Stoch. Proc. Appl. , vol.69 , pp. 127-138
    • Grabner, P.J.1    Woess, W.2
  • 10
    • 0029690374 scopus 로고    scopus 로고
    • Transition probabilities for the simple random walk on the Sierpiński graph
    • Jones, O. D. (1996) Transition probabilities for the simple random walk on the Sierpiński graph. Stoch. Proc. Appl. 61 45-69.
    • (1996) Stoch. Proc. Appl. , vol.61 , pp. 45-69
    • Jones, O.D.1
  • 12
    • 0038404101 scopus 로고    scopus 로고
    • Analysis on fractals
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  • 13
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    • Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals
    • Kigami, J. and Lapidus, M. L. (1993) Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals. Commun. Math. Phys. 158 93-125.
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  • 14
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  • 17
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