메뉴 건너뛰기




Volumn 13, Issue 1, 1996, Pages 1-23

On eigenvalue problems for Laplacians on P.C.F. self-similar sets

Author keywords

Eigenvalue; Post critically finite self similar sets; Spectral decimation; Spectral dimension

Indexed keywords


EID: 0002230189     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167295     Document Type: Article
Times cited : (77)

References (12)
  • 3
    • 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
  • 4
    • 85033821166 scopus 로고    scopus 로고
    • On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals
    • to appear
    • M. Fukushima and T. Shima, On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals. Comm. Math. Phys., to appear.
    • Comm. Math. Phys.
    • Fukushima, M.1    Shima, T.2
  • 5
    • 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., 335 (1993), 721-755.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , pp. 721-755
    • Kigami, J.1
  • 6
    • 21344480546 scopus 로고
    • Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals
    • J. Kigami and M.L. Lapidus, Weyl's problem for the spectral distribution 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
  • 7
    • 0000430442 scopus 로고
    • Regularity, closedness and spectral dimensions of the Dirichlet forms on p.c.f. self-similar sets
    • T. Kumagai, Regularity, closedness and spectral dimensions of the Dirichlet forms on p.c.f. self-similar sets. J. Math. Kyoto Univ., 33 (1993), 765-786.
    • (1993) J. Math. Kyoto Univ. , vol.33 , pp. 765-786
    • Kumagai, T.1
  • 8
    • 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
  • 9
    • 0039512204 scopus 로고
    • The integrated density of states for the difference Laplacian on the modified Koch graph
    • L. Malozemov, The integrated density of states for the difference Laplacian on the modified Koch graph. Comm. Math. Phys., 156 (1993), 387-397.
    • (1993) Comm. Math. Phys. , vol.156 , pp. 387-397
    • Malozemov, L.1
  • 10
    • 0003101468 scopus 로고
    • Random walks on fractal structures and percolation clusters
    • R. Rammal and G. Toulouse, Random walks on fractal structures and percolation clusters. J. Physique Lett., 43 (1982), L13-L22.
    • (1982) J. Physique Lett. , vol.43
    • Rammal, R.1    Toulouse, G.2
  • 11
    • 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), 127-141.
    • (1991) Japan J. Indust. Appl. Math. , vol.8 , pp. 127-141
    • Shima, T.1
  • 12
    • 84935605934 scopus 로고
    • Some remarks on Dirichlet problem of Poisson equation
    • Gauthier-Villars
    • M. Yamaguti and J. Kigami, Some remarks on Dirichlet problem of Poisson equation. Analyse Mathématique et Application, Gauthier-Villars, 1988, 465-471.
    • (1988) Analyse Mathématique et Application , pp. 465-471
    • Yamaguti, M.1    Kigami, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.