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Volumn 85, Issue 2, 2000, Pages 225-235

Large deviations for Brownian motion on the Sierpinski gasket

Author keywords

60F10; 60J60; 60J80; Branching process; Diffusion; Fractal; Large deviation; Sierpinski gasket

Indexed keywords


EID: 0013298664     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(99)00075-7     Document Type: Article
Times cited : (19)

References (15)
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    • Brownian motion and harmonic analysis on Sierpinski carpets
    • Barlow M.T., Bass R.F. Brownian motion and harmonic analysis on Sierpinski carpets. Can. J. Math. 51:1999;673-744.
    • (1999) Can. J. Math. , vol.51 , pp. 673-744
    • Barlow, M.T.1    Bass, R.F.2
  • 3
    • 85037502087 scopus 로고    scopus 로고
    • Laws of the iterated logarithm for some symmetric diffusion processes
    • to appear
    • Bass, R.F., Kumagai, T., 1998. Laws of the iterated logarithm for some symmetric diffusion processes. Osaka J. Math., to appear.
    • (1998) Osaka J. Math.
    • Bass, R.F.1    Kumagai, T.2
  • 4
    • 21844490714 scopus 로고
    • Transition density estimates for Brownian motion on affine nested fractals
    • Fitzsimmons P.J., Hambly B.M., Kumagai T. Transition density estimates for Brownian motion on affine nested fractals. Commun. Math. Phys. 165:1994;595-662.
    • (1994) Commun. Math. Phys. , vol.165 , pp. 595-662
    • Fitzsimmons, P.J.1    Hambly, B.M.2    Kumagai, T.3
  • 6
    • 0000648822 scopus 로고
    • Dirichlet forms, diffusion processes and spectral dimensions for nested fractals
    • in: Albeverio, S., et al. (Eds.), In Memory of R. H ø egh-Krohn, Cambridge Univ. Press, Cambridge
    • Fukushima, M., 1992. Dirichlet forms, diffusion processes and spectral dimensions for nested fractals, in: Albeverio, S., et al. (Eds.), Ideas and Methods in Mathematical Analysis, Stochastics, and Applications, In Memory of R. H ø egh-Krohn, Vol. 1. Cambridge Univ. Press, Cambridge, pp. 151-161.
    • (1992) Ideas and Methods in Mathematical Analysis, Stochastics, and Applications , vol.1 , pp. 151-161
    • Fukushima, M.1
  • 7
    • 0039346692 scopus 로고    scopus 로고
    • Large deviations and related LIL's for Brownian motions on nested fractals
    • to appear
    • Fukushima, M., Shima, T., Takeda, M., 1998. Large deviations and related LIL's for Brownian motions on nested fractals, Osaka J. Math., to appear.
    • (1998) Osaka J. Math.
    • Fukushima, M.1    Shima, T.2    Takeda, M.3
  • 8
    • 0037747592 scopus 로고
    • Brownian bridges on Riemannian manifolds
    • Hsu E.P. Brownian bridges on Riemannian manifolds. Probab. Theory Rel. Fields. 84:1990;103-118.
    • (1990) Probab. Theory Rel. Fields , vol.84 , pp. 103-118
    • Hsu, E.P.1
  • 9
    • 84924341601 scopus 로고
    • Harmonic calculus on P.C.F. self-similar sets
    • Kigami J. Harmonic calculus on P.C.F. self-similar sets. Trans. Amer. Math. Soc. 335:1993;721-755.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , pp. 721-755
    • Kigami, J.1
  • 11
    • 0012522288 scopus 로고
    • Diffusion processes on nested fractals
    • In: Dobrushin, R.L., Kusuoka, S., (Eds.), Springer, New York
    • Kusuoka, S., 1993. Diffusion processes on nested fractals. In: Dobrushin, R.L., Kusuoka, S., (Eds.), Statistical Mechanics and Fractals, Lecture Notes in Mathematics, Springer, New York, p. 1567.
    • (1993) Statistical Mechanics and Fractals, Lecture Notes in Mathematics , pp. 1567
    • Kusuoka, S.1
  • 12
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    • On a Laplace asymptotic formulas for Wiener integrals
    • Schilder M. On a Laplace asymptotic formulas for Wiener integrals. Trans. Amer. Math. Soc. 125:1966;63-85.
    • (1966) Trans. Amer. Math. Soc. , vol.125 , pp. 63-85
    • Schilder, M.1
  • 14
    • 84981761482 scopus 로고
    • Diffusion processes in a small time interval
    • Varadhan S. Diffusion processes in a small time interval. Commun. Pure Appl. Math. 20:1967;659-685.
    • (1967) Commun. Pure Appl. Math. , vol.20 , pp. 659-685
    • Varadhan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.