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Volumn 188, Issue 1, 1997, Pages 1-27

Weak homogenization of anisotropic diffusion on pre-Sierpiński carpets

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[No Author keywords available]

Indexed keywords


EID: 0031536627     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050155     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 0001035130 scopus 로고
    • Construction of Brownian motion on the Sierpiński carpet
    • Barlow, R.F., Bass, R.: Construction of Brownian motion on the Sierpiński carpet. Ann. Inst. Henri Poincaré 25, 225-257 (1989)
    • (1989) Ann. Inst. Henri Poincaré , vol.25 , pp. 225-257
    • Barlow, R.F.1    Bass, R.2
  • 2
    • 0011597810 scopus 로고
    • On the resistance of the Sierpiński carpet
    • Barlow, M.T., Bass, R.F.: On the resistance of the Sierpiński carpet Proc. Roy. Soc. London A 431, 345-360 (1990)
    • (1990) Proc. Roy. Soc. London A , vol.431 , pp. 345-360
    • Barlow, M.T.1    Bass, R.F.2
  • 3
    • 84967735808 scopus 로고
    • Coupling and Harnack inequalities for Sierpińki carpets
    • Barlow, M.T., Bass, R.F.: Coupling and Harnack inequalities for Sierpińki carpets Bull. Amer. Math. Soc. 29, 208-212 (1993)
    • (1993) Bull. Amer. Math. Soc. , vol.29 , pp. 208-212
    • Barlow, M.T.1    Bass, R.F.2
  • 4
    • 0001008853 scopus 로고
    • Resistance and spectral dimension of Sierpiński carpets
    • Barlow, M.T., Bass, R.F., Sherwood, J.D.: Resistance and spectral dimension of Sierpiński carpets. J. Phys. A, 23, L253-L258 (1990)
    • (1990) J. Phys. A , vol.23
    • Barlow, M.T.1    Bass, R.F.2    Sherwood, J.D.3
  • 6
    • 0000503489 scopus 로고
    • Exact fractals with adjustable fractal and fracton dimensionalities
    • Ben-Avraham, D., Havlin, S.: Exact fractals with adjustable fractal and fracton dimensionalities. J. Phys. A 16, L559-L563 (1983)
    • (1983) J. Phys. A , vol.16
    • Ben-Avraham, D.1    Havlin, S.2
  • 9
    • 0001698331 scopus 로고
    • Gaussian field theories on general networks and the spectral dimensions
    • Hattori, K., Hattori, K., Watanabe, H.: Gaussian field theories on general networks and the spectral dimensions. Progr. Theor. Phys. Supplement 92, 108-143 (1987)
    • (1987) Progr. Theor. Phys. Supplement , vol.92 , pp. 108-143
    • Hattori, K.1    Hattori, K.2    Watanabe, H.3
  • 10
    • 21844485200 scopus 로고
    • Asymptotically one-dimensional diffusions on the Sierpiński gasket and the abc-gaskets
    • Hattori, K., Hattori, K., Watanabe, H.: Asymptotically one-dimensional diffusions on the Sierpiński gasket and the abc-gaskets. Probab. Theory Relat. Fields 100, 85-116 (1994)
    • (1994) Probab. Theory Relat. Fields , vol.100 , pp. 85-116
    • Hattori, K.1    Hattori, K.2    Watanabe, H.3
  • 11
    • 21144471667 scopus 로고
    • Harmonization and homogenization on fractals
    • Kozlov, S.M.: Harmonization and homogenization on fractals. Commun. Math. Phys. 153, 339-357 (1993)
    • (1993) Commun. Math. Phys. , vol.153 , pp. 339-357
    • Kozlov, S.M.1
  • 14
    • 0000245433 scopus 로고
    • Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donnée. C. r. hebd. Śeanc
    • Paris
    • Sierpiński, W.: Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donnée. C. r. hebd. Śeanc. Acad. Sci., Paris 162, 629-632 (1916)
    • (1916) Acad. Sci. , vol.162 , pp. 629-632
    • Sierpiński, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.