메뉴 건너뛰기




Volumn 10, Issue 3, 2001, Pages 437-448

Constructing a laplacian on the diamond fractal

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035600769     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2001.10504461     Document Type: Article
Times cited : (37)

References (11)
  • 1
    • 0002163683 scopus 로고    scopus 로고
    • Diffusions on fractals
    • Lectures on probability theory and statistics (Saint-Flour, 1995), edited by P. Bernard, Springer, Berlin
    • M. T. Barlow, “Diffusions on fractals”, pp. 1-121 in Lectures on probability theory and statistics (Saint-Flour, 1995), edited by P. Bernard, Lecture Notes in Math. 1690, Springer, Berlin, 1998.
    • (1998) Lecture Notes in Math , vol.1690 , pp. 1-121
    • Barlow, M.T.1
  • 2
    • 0007388272 scopus 로고
    • A fractal puzzle
    • G. A. Edgar, “A fractal puzzle”, Math. Intelligencer 13: 3 (1991), 44-50.
    • (1991) Math. Intelligencer , vol.13 , Issue.3 , pp. 44-50
    • Edgar, G.A.1
  • 3
    • 85023958171 scopus 로고    scopus 로고
    • NybergFinitely ramified graph directed fractals, spectral asymptotics and the multidimensional renewal theorem”, technical report 1999-12, BRIMS (Hewlett- Packard Labs
    • B. Hambly and Nyberg, “Finitely ramified graph directed fractals, spectral asymptotics and the multidimensional renewal theorem”, technical report 1999-12, BRIMS (Hewlett- Packard Labs), 1999. See http: //www.hpl.hp.com/techreports/1999/HPL-BRIMS-1999-12.html.
    • (1999)
    • Hambly, B.1
  • 4
    • 77951516336 scopus 로고
    • A harmonic calculus on the Sierpinski spaces, Japan
    • J. Kigami, “A harmonic calculus on the Sierpinski spaces”, Japan J. Appl. Math. 6: 2 (1989), 259-290.
    • (1989) J. Appl. Math , vol.6 , Issue.2 , pp. 259-290
    • Kigami, J.1
  • 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: 2 (1993), 721-755.
    • (1993) Trans. Amer. Math. Soc , vol.335 , Issue.2 , pp. 721-755
    • Kigami, J.1
  • 6
    • 0038404101 scopus 로고    scopus 로고
    • Analysis on fractals
    • Cambridge Univ. Press, New York
    • J. Kigami, Analysis on fractals, Cambridge tracts in math. 143, Cambridge Univ. Press, New York, 2001.
    • (2001) Cambridge Tracts in Math , vol.143
    • Kigami, J.1
  • 7
    • 0000311503 scopus 로고
    • Brownian motion on nested fractals
    • Amer. Math. Soc., Providence, RI
    • T. Lindstrøm, Brownian motion on nested fractals, Mem. Amer. Math. Soc. 420, Amer. Math. Soc., Providence, RI, 1990.
    • (1990) Mem. Amer. Math. Soc , vol.420
    • Lindstrøm, T.1
  • 8
    • 84966230972 scopus 로고
    • Hausdorff dimension in graph directed constructions
    • R. D. Mauldin and S. C. Williams, “Hausdorff dimension in graph directed constructions”, Trans. Amer. Math. Soc. 309: 2 (1988), 811-829.
    • (1988) Trans. Amer. Math. Soc , vol.309 , Issue.2 , pp. 811-829
    • Mauldin, R.D.1    Williams, S.C.2
  • 9
    • 0031536927 scopus 로고    scopus 로고
    • Existence and uniqueness of diffusions on finitely ramified self-similar fractals
    • C. Sabot, “Existence and uniqueness of diffusions on finitely ramified self-similar fractals”, Ann. Sci. Ecole Norm. Sup. (4) 30: 5 (1997), 605-673.
    • (1997) Ann. Sci. Ecole Norm. Sup. (4) , vol.30 , Issue.5 , pp. 605-673
    • Sabot, C.1
  • 10
    • 0001904322 scopus 로고    scopus 로고
    • Geometry of self-affine tiles, I, Indiana Univ
    • R. S. Strichartz and Y. Wang, “Geometry of self-affine tiles, I”, Indiana Univ. Math. J. 48: 1 (1999), 1-20.
    • (1999) Math. J , vol.48 , Issue.1 , pp. 1-20
    • Strichartz, R.S.1    Wang, Y.2
  • 11
    • 21344474424 scopus 로고
    • Densities of self-similar measures on the line
    • R. S. Strichartz, A. Taylor, and T. Zhang, “Densities of self-similar measures on the line”, Experiment. Math. 4: 2 (1995), 101-128.
    • (1995) Experiment. Math , vol.4 , Issue.2 , pp. 101-128
    • Strichartz, R.S.1    Taylor, A.2    Zhang, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.