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Volumn 21, Issue 1, 2004, Pages 35-46

A note on the diamond fractal

Author keywords

diffusion; fractals; Laplace operator

Indexed keywords


EID: 9744225842     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:POTA.0000021338.29389.6d     Document Type: Article
Times cited : (5)

References (13)
  • 1
    • 0002163683 scopus 로고    scopus 로고
    • Diffusions on fractals
    • M.T. Barlow and D. Nualart (eds), Lectures on Probability Theory and Statistics. École de Probabilités de Saint-Flour XXV - 1995, Springer, Berlin
    • Barlow, M.T.: 'Diffusions on fractals', in M.T. Barlow and D. Nualart (eds), Lectures on Probability Theory and Statistics. École de Probabilités de Saint-Flour XXV - 1995, Lecture Notes in Math. 1690, Springer, Berlin, 1998, pp. 1-121.
    • (1998) Lecture Notes in Math. , vol.1690 , pp. 1-121
    • Barlow, M.T.1
  • 2
    • 0003252137 scopus 로고
    • Random Walks and Electrical Networks
    • The Mathematical Association of America, Washington, D.C.
    • Doyle, P.G. and Snell, J.L.: Random Walks and Electrical Networks, Carus Math. Monographs 22, The Mathematical Association of America, Washington, D.C., 1984.
    • (1984) Carus Math. Monographs , vol.22
    • Doyle, P.G.1    Snell, J.L.2
  • 3
    • 0003228611 scopus 로고
    • Dirichlet Forms and Symmetric Markov Processes
    • de Gruyter, Berlin
    • Fukushima, M., Oshima, Y. and Takeda, M.: Dirichlet Forms and Symmetric Markov Processes, de Gruyter Stud. Math. 19, de Gruyter, Berlin, 1994.
    • (1994) De Gruyter Stud. Math. , vol.19
    • Fukushima, M.1    Oshima, Y.2    Takeda, M.3
  • 5
    • 0038404101 scopus 로고    scopus 로고
    • Analysis on Fractals
    • Cambridge University Press, Cambridge
    • Kigami, J.: Analysis on Fractals, Cambridge Tracts in Math. 143, Cambridge University Press, Cambridge, 2001.
    • (2001) Cambridge Tracts in Math. , vol.143
    • Kigami, J.1
  • 6
    • 0035600769 scopus 로고    scopus 로고
    • Constructing a Laplacian on the diamond fractal
    • Kigami, J., Strichartz, R. and Walker, K.C.: 'Constructing a Laplacian on the diamond fractal', Experiment. Math. 10 (2001), 437-448.
    • (2001) Experiment. Math. , vol.10 , pp. 437-448
    • Kigami, J.1    Strichartz, R.2    Walker, K.C.3
  • 7
    • 84966230972 scopus 로고
    • Hausdorff dimension in graph directed constructions
    • Mauldin, R.D. and Williams, S.C.: 'Hausdorff dimension in graph directed constructions', Trans. Amer. Math. Soc. 309 (1988), 811-829.
    • (1988) Trans. Amer. Math. Soc. , vol.309 , pp. 811-829
    • Mauldin, R.D.1    Williams, S.C.2
  • 8
    • 0010780407 scopus 로고
    • Hilbert's projective metric on cones of Dirichlet forms
    • Metz, V.: 'Hilbert's projective metric on cones of Dirichlet forms', J. Funct. Anal. 127 (1995), 438-455.
    • (1995) J. Funct. Anal. , vol.127 , pp. 438-455
    • Metz, V.1
  • 10
    • 0001338184 scopus 로고
    • Hilbert's Projective Metric and Iterated Nonlinear Maps
    • Amer. Math. Soc., Providence
    • Nussbaum, R.D.: Hilbert's Projective Metric and Iterated Nonlinear Maps, Mem. Amer. Math. Soc., Vol. 75, no. 391, Amer. Math. Soc., Providence, 1988.
    • (1988) Mem. Amer. Math. Soc. , vol.75 , Issue.391
    • Nussbaum, R.D.1
  • 11
    • 0001146015 scopus 로고
    • Iterated Nonlinear Maps and Hilbert's Projective Metric, II
    • Amer. Math. Soc., Providence
    • Nussbaum, R.D.: Iterated Nonlinear Maps and Hilbert's Projective Metric, II, Mem. Amer. Math. Soc., Vol. 79, no. 401, Amer. Math. Soc., Providence, 1989.
    • (1989) Mem. Amer. Math. Soc. , vol.79 , Issue.401
    • Nussbaum, R.D.1
  • 12
    • 0031536927 scopus 로고    scopus 로고
    • Existence and uniqueness of diffusions on finitely ramified self-similar fractals
    • Sabot, C.: '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. , vol.30 , Issue.4 , pp. 605-673
    • Sabot, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.