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Volumn 115, Issue 2, 1994, Pages 291-303

Effective Resistances for Harmonic Structures on P.C.F. Self-Similar Sets

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EID: 84973971662     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004100072091     Document Type: Article
Times cited : (50)

References (22)
  • 1
    • 0001428463 scopus 로고
    • Random walks, electrical resistance, and nested fractals.
    • K. D. Elworthy, N. Ikeda, Pitman Research Notes in Math., Longman
    • M. T. BARLOW. Random walks, electrical resistance, and nested fractals. In Asymptotic problems in probability theory: stochastic models and diffusions on fractals (eds. K. D. Elworthy and N. Ikeda). Pitman Research Notes in Math. 283 (Longman, 1993), pp. 131–157.
    • (1993) Asymptotic problems in probability theory: stochastic models and diffusions on fractals , vol.283 , pp. 131-157
    • BARLOW, M.T.1
  • 2
    • 0011597810 scopus 로고
    • On the resistance of the Sierpinski carpet.
    • London
    • M. T. BARLOW and R. F. BASS. On the resistance of the Sierpinski carpet. Proc. Roy. Soc. London A 431 (1990), 354-360.
    • (1990) Proc. Roy. Soc. , vol.A 431 , pp. 354-360
    • BARLOW, M.T.1    BASS, R.F.2
  • 3
    • 0000869325 scopus 로고
    • Transition densities for Brownian motion on the Sierpinski carpet.
    • M. T. BARLOW and R. F. BASS. Transition densities for Brownian motion on the Sierpinski carpet. Prob. Th. Rel. Fields 91 (1992), 307–330.
    • (1992) Prob. Th. Rel. Fields , vol.91 , pp. 307-330
    • BARLOW, M.T.1    BASS, R.F.2
  • 4
    • 0000835875 scopus 로고
    • Brownian motion on the Sierpinski gasket.
    • M. T. BARLOW and E. A. PERKINS. Brownian motion on the Sierpinski gasket. Prob. Th. Rel. Fields 79 (1988), 542–624.
    • (1988) Prob. Th. Rel. Fields , vol.79 , pp. 542-624
    • BARLOW, M.T.1    PERKINS, E.A.2
  • 6
    • 0000648822 scopus 로고
    • Dirichlet forms, diffusion processes and spectral dimensions for nested fractals.
    • Albeverio, Fenstad, Holden and Lindstrøm) (Cambridge University Press
    • M. FUKUSHIMA. Dirichlet forms, diffusion processes and spectral dimensions for nested fractals. In Ideas and Methods in Mathematical Analysis, Stochastics and Application, vol. 1 (eds. Albeverio, Fenstad, Holden and Lindstrøm) (Cambridge University Press, 1992).
    • (1992) Ideas and Methods in Mathematical Analysis, Stochastics and Application , vol.1
    • FUKUSHIMA, M.1
  • 7
    • 0002832308 scopus 로고
    • On a spectral analysis for the Sierpinski gasket.
    • M. FUKUSHIMA and T. SHIMA. On a spectral analysis for the Sierpinski gasket. Potential Analysis 1 (1992), 1–35.
    • (1992) Potential Analysis , vol.1 , pp. 1-35
    • FUKUSHIMA, M.1    SHIMA, T.2
  • 9
    • 0001265433 scopus 로고
    • Fractals and self-similarity, Indiana Univ.
    • J. E. HUTCHINSON. Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713–747.
    • (1981) Math. J. , vol.30 , pp. 713-747
    • HUTCHINSON, J.E.1
  • 10
    • 77951516336 scopus 로고
    • A harmonic calculus on the Sierpinski spaces.
    • J. KIGAMI. A harmonic calculus on the Sierpinski spaces. Japan J. Appl. Math. 6 (1989), 259–290.
    • (1989) Japan J. Appl. Math. , vol.6 , pp. 259-290
    • KIGAMI, J.1
  • 11
    • 84924341601 scopus 로고
    • Harmonic calculus on p.c.f. self-similar sets.
    • J. KIGAMI. Harmonic calculus on p.c.f. self-similar sets. Trans. Amer. Math. Soc. 355 (1993), 721–755.
    • (1993) Trans. Amer. Math. Soc. , vol.355 , pp. 721-755
    • KIGAMI, J.1
  • 14
    • 21344480546 scopus 로고
    • Weyl’s problem for the spectral distributions of Laplacians on p.c.f. self-similar fractals.
    • J. KIGAMI and M. L. LAPIDUS. Weyl’s problem for the spectral distributions of Laplacians on p.c.f. self-similar fractals. Comm. Math. Phys. 158 (1993), 93–125.
    • (1993) Comm. Math. Phys. , vol.158 , pp. 93-125
    • KIGAMI, J.1    LAPIDUS, M.L.2
  • 18
    • 85008054100 scopus 로고
    • Dirichlet forms on fractals and products of random matrices.
    • S. KUSUOKA. Dirichlet forms on fractals and products of random matrices. Publ. RIMS. 25 (1989), 659–680.
    • (1989) Publ. RIMS. , vol.25 , pp. 659-680
    • KUSUOKA, S.1
  • 19
    • 0000468986 scopus 로고
    • Dirichlet forms on fractals: Poincare constant and resistance.
    • S. KUSUOKA and X. Y. ZHOU. Dirichlet forms on fractals: Poincare constant and resistance. Prob. Th. Rel. Fields 93 (1992), 169–196.
    • (1992) Prob. Th. Rel. Fields , vol.93 , pp. 169-196
    • KUSUOKA, S.1    ZHOU, X.Y.2
  • 20
    • 0000311503 scopus 로고
    • Brownian motion on nested fractals.
    • T. LINDSTRØM. Brownian motion on nested fractals. Mem. Amer. Math. Soc. 420 (1990).
    • (1990) Mem. Amer. Math. Soc. , vol.420
    • LINDSTRØM, T.1
  • 21
    • 0039771567 scopus 로고
    • Additive functions of intervals and Hausdorff measure.
    • P. A. P. MORAN. Additive functions of intervals and Hausdorff measure. Proc. Cambridge Phil. Soc. 42 (1946), 15–23.
    • (1946) Proc. Cambridge Phil. Soc. , vol.42 , pp. 15-23
    • MORAN, P.A.P.1
  • 22
    • 0000381989 scopus 로고
    • On eigenvalue problems for the random walks on the Sierpinski pre-gaskets.
    • T. SHIMA. On eigenvalue problems for the random walks on the Sierpinski pre-gaskets. Japan J. Indust. Appl. Math. 8 (1991), 124—141.
    • (1991) Japan J. Indust. Appl. Math. , vol.8 , pp. 124-141
    • SHIMA, T.1


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