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Volumn 16, Issue 3, 2002, Pages 289-303

Resistance in higher-dimensional Sierpiński carpets

Author keywords

Electrical resistance; Recurrence; Resistance scaling factor; Sierpinski carpets

Indexed keywords


EID: 0036106228     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014035414658     Document Type: Article
Times cited : (18)

References (11)
  • 2
    • 0001035130 scopus 로고
    • The construction of Brownian motion on the Sierpiński carpet
    • Barlow, M. T. and Bass, R. F.: 'The construction of Brownian motion on the Sierpiński carpet', Ann. Inst. H. Poincaré 25 (1989), 225-257.
    • (1989) Ann. Inst. H. Poincaré , vol.25 , pp. 225-257
    • Barlow, M.T.1    Bass, R.F.2
  • 3
    • 0040773662 scopus 로고
    • Local times for Brownian motion on the Sierpiński carpet
    • Barlow, M. T. and Bass, R. F.: 'Local times for Brownian motion on the Sierpiński carpet', Probab. Theory Related Fields 85 (1990), 91-104.
    • (1990) Probab. Theory Related Fields , vol.85 , pp. 91-104
    • Barlow, M.T.1    Bass, R.F.2
  • 4
    • 0011597810 scopus 로고
    • On the resistance of the Sierpinski carpet
    • Barlow, M. T. and Bass, R. F.: 'On the resistance of the Sierpinski carpet', Proc. Roy. Soc. London A 431 (1990), 345-360.
    • (1990) Proc. Roy. Soc. London A , vol.431 , pp. 345-360
    • Barlow, M.T.1    Bass, R.F.2
  • 5
    • 0000835875 scopus 로고
    • Transition densities for Brownian motion on the Sierpiński carpet
    • Barlow, M. T. and Bass, R. F.: 'Transition densities for Brownian motion on the Sierpiński carpet', Probab. Theory Related Fields 79 (1988), 543-623.
    • (1988) Probab. Theory Related Fields , vol.79 , pp. 543-623
    • Barlow, M.T.1    Bass, R.F.2
  • 6
    • 84967735808 scopus 로고
    • Coupling Harnack inequalities for Sierpiński carpets
    • Barlow, M. T. and Bass, R. F.: 'Coupling and Harnack inequalities for Sierpiński carpets', Bull. Amer Math. Soc. 29 (1993), 208-212.
    • (1993) Bull. Amer Math. Soc. , vol.29 , pp. 208-212
    • Barlow, M.T.1    Bass, R.F.2
  • 7
    • 0001584203 scopus 로고
    • Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
    • Bass, R. F. and Hsu, P.: 'Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains', Ann. Probab. 19(2) (1991), 480-508.
    • (1991) Ann. Probab. , vol.19 , Issue.2 , pp. 480-508
    • Bass, R.F.1    Hsu, P.2
  • 8
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • Diaconis, P. and Stroock, D.: 'Geometric bounds for eigenvalues of Markov chains', Ann. Appl. Probab. 1(1) (1991), 36-61.
    • (1991) Ann. Appl. Probab. , vol.1 , Issue.1 , pp. 36-61
    • Diaconis, P.1    Stroock, D.2
  • 10
    • 0002814972 scopus 로고
    • Boundary value problems in Lipschitz domains
    • W. Littman (ed.), Math. Assoc. Amer.
    • Jerison, D. S. and Kenig, C. E.: 'Boundary value problems in Lipschitz domains', In W. Littman (ed.), Studies in Partial Differential Equations, Math. Assoc. Amer., 1982, pp. 1-68.
    • (1982) Studies in Partial Differential Equations , pp. 1-68
    • Jerison, D.S.1    Kenig, C.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.