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Volumn 52, Issue 1, 2003, Pages 133-156

Energy partition on fractals

Author keywords

Dirichlet form; Energy Partition; Fractals; Sierpinski gasket

Indexed keywords


EID: 0038738336     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2003.52.2115     Document Type: Article
Times cited : (9)

References (12)
  • 1
    • 0001511211 scopus 로고    scopus 로고
    • What is not in the domain of the Laplacian on a Sierpinski gasket type fractal
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    • [BST] O. BEN-BASSAT, R. STRICHARTZ, AND A. TEPLYAEV, What is not in the domain of the Laplacian on a Sierpinski gasket type fractal, Functional Anal. 166 (1999), 197-217.
    • (1999) Functional Anal. , vol.166 , pp. 197-217
    • Ben-Bassat, O.1    Strichartz, R.2    Teplyaev, A.3
  • 2
    • 84924341601 scopus 로고
    • Harmonic calculus on p.c.f. self-similar sets
    • [Ki1]
    • [Ki1] 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
  • 3
    • 0038404101 scopus 로고    scopus 로고
    • Analysis on fractals
    • [Ki2]. Cambridge University Press, Cambridge
    • [Ki2] J. KIGAMI, Analysis on Fractals, Cambridge Tracts in Mathematics, Vol. 143. Cambridge University Press, Cambridge, 2001.
    • (2001) Cambridge Tracts in Mathematics , vol.143
    • Kigami, J.1
  • 5
    • 85008054100 scopus 로고
    • Dirichlet forms on fractals and products of random matrices
    • [Ku]
    • [Ku] S. KUSUOKA, Dirichlet forms on fractals and products of random matrices, Publ. Res. Inst. Math. Sci. 25 (1989), 659-680.
    • (1989) Publ. Res. Inst. Math. Sci. , vol.25 , pp. 659-680
    • Kusuoka, S.1
  • 6
    • 21444443520 scopus 로고    scopus 로고
    • Renormalization contracts on nested fractals
    • [M1]
    • [M1] V. METZ, Renormalization contracts on nested fractals, J. Reine Angew. Math. 480 (1996), 161-175.
    • (1996) J. Reine Angew. Math. , vol.480 , pp. 161-175
    • Metz, V.1
  • 8
    • 0013533249 scopus 로고    scopus 로고
    • Convergence and uniqueness problems for Dirichlet forms on fractals
    • [P]
    • [P] R. PEIRONE, Convergence and uniqueness problems for Dirichlet forms on fractals., Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 3 (2000), 431-460.
    • (2000) Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) , vol.3 , pp. 431-460
    • Peirone, R.1
  • 9
    • 0031536927 scopus 로고    scopus 로고
    • Existence and uniqueness of diffusions on finitely ramified self-similar fractals
    • [Sa]
    • [Sa] C. SABOT, Existence and uniqueness of diffusions on finitely ramified self-similar fractals, Ann. Sci. École Norm. Sup (4) 30 (1997), 605-673.
    • (1997) Ann. Sci. École Norm. Sup (4) , vol.30 , pp. 605-673
    • Sabot, C.1
  • 11
    • 0038404094 scopus 로고    scopus 로고
    • The Laplacian on the Sierpinski gasket via the method of averages
    • [S2]
    • [S2] R. S. STRICHARTZ, The Laplacian on the Sierpinski gasket via the method of averages, Pacific J. Math. 201 (2001), 241-256.
    • (2001) Pacific J. Math. , vol.201 , pp. 241-256
    • Strichartz, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.