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Volumn 1, Issue 1, 1992, Pages 1-35

On a spectral analysis for the Sierpinski gasket

Author keywords

AMS subject classifications (1991): 47A75, 31C25; decimation method; Dirichlet form; eigenvalue; integrated density of states; Laplacian; Sierpinski gasket; spectral dimension

Indexed keywords


EID: 0002832308     PISSN: 09262601     EISSN: 1572929X     Source Type: Journal    
DOI: 10.1007/BF00249784     Document Type: Article
Times cited : (255)

References (12)
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    • Fukushima, M.: Dirichlet Forms and Markov Processes, North-Holland/Kodansha, 1980.
  • 4
    • 84935273992 scopus 로고    scopus 로고
    • Fakushima, M.: On recurrence criteria in the Dirichlet space theory, in From Local Times to Global Geometry, Control and Physics, ed. by K. D. Elworthy, Pitman Research Notes in Math., Longman, 1986, pp. 100–110.
  • 6
    • 84935273983 scopus 로고    scopus 로고
    • Kigami, J.: Harmonic calculus on P.C.F. self-similar sets, To appear in Trans. Amer. Math. Soc.
  • 7
    • 84935273981 scopus 로고    scopus 로고
    • Kusuoka, S.: A diffusion process on a fractal, in Probabilistic Methods in Mathematical Physics, Proc. of Taniguchi International Symp. (Katata and Kyoto, 1988), ed. by K. Ito and N. Ikeda, Kinokuniya/North-Holland, 1987, pp. 251–274.
  • 9
    • 84935273979 scopus 로고    scopus 로고
    • Lindstrøm, T.: Brownian motion on nested fractals, Memoir AMS, Vol. 83, No. 420, 1990.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.