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Volumn 135, Issue 10, 2007, Pages 3151-3161

Dimension functions of Cantor sets

Author keywords

Cantor sets; Dimension function; Hausdorff dimension; Packing measure

Indexed keywords


EID: 67949088702     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-09019-3     Document Type: Article
Times cited : (24)

References (12)
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    • MR0001824 1:302f
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    • (1939) Proc. Edinburgh Math. Soc. , vol.6 , Issue.2 , pp. 105-108
    • Best, E.1
  • 2
    • 84962994650 scopus 로고
    • On the complementary intervals of a linear closed set of zero Lebesgue measure
    • MR0064849 16:344d
    • A. S. Besicovitch and S. J. Taylor. On the complementary intervals of a linear closed set of zero Lebesgue measure. J. London Math. Soc., 29: 449-459, 1954. MR0064849 (16:344d)
    • (1954) J. London Math. Soc. , vol.29 , pp. 449-459
    • Besicovitch, A.S.1    Taylor, S.J.2
  • 5
    • 11244346792 scopus 로고    scopus 로고
    • On the Hausdorff fe-measure of Cantor sets
    • MR2105765 2005h:28013
    • Carlos Cabrelli, Franklin Mendivil, Ursula M. Molter, and Ronald Shonkwiler. On the Hausdorff fe-measure of Cantor sets. Pacific J. Math., 217(1):45-59, 2004. MR2105765 (2005h:28013)
    • (2004) Pacific J. Math. , vol.217 , Issue.1 , pp. 45-59
    • Cabrelli, C.1    Mendivil, F.2    Molter, U.M.3    Shonkwiler, R.4
  • 7
    • 0004116888 scopus 로고    scopus 로고
    • John Wiley & Sons Ltd., Chichester, MR1449135 99f:28013
    • Kenneth Falconer. Techniques in fractal geometry. John Wiley & Sons Ltd., Chichester, 1997. MR1449135 (99f:28013)
    • (1997) Techniques in Fractal Geometry
    • Falconer, K.1
  • 8
    • 0242308838 scopus 로고    scopus 로고
    • The exact Hausdorff dimension functions of some Cantor sets
    • MR1975790 2004g:28009
    • L. Olsen. The exact Hausdorff dimension functions of some Cantor sets. Nonlinearity, 16(3):963-970, 2003. MR1975790 (2004g:28009)
    • (2003) Nonlinearity , vol.16 , Issue.3 , pp. 963-970
    • Olsen, L.1
  • 9
    • 0004122682 scopus 로고    scopus 로고
    • Hausdorff measures
    • Cambridge University Press, Cambridge, MR1692618 2000b:28009
    • C. A. Rogers. Hausdorff measures. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1998. MR1692618 (2000b:28009)
    • (1998) Cambridge Mathematical Library
    • Rogers, C.A.1
  • 10
    • 84971877468 scopus 로고
    • Two definitions of fractional dimension
    • MR633256 84d:28013
    • Claude Tricot, Jr. Two definitions of fractional dimension. Math. Proc. Cambridge Philos. Soc., 91(1):57-74, 1982. MR633256 (84d:28013)
    • (1982) Math. Proc. Cambridge Philos. Soc. , vol.91 , Issue.1 , pp. 57-74
    • Tricot Jr., C.1
  • 11
    • 0003610310 scopus 로고
    • Springer-Verlag, New York, MR1302173 95i:28005
    • Claude Tricot. Curves and fractal dimension. Springer-Verlag, New York, 1995. MR1302173 (95i:28005)
    • (1995) Curves and Fractal Dimension
    • Tricot, C.1
  • 12
    • 84966224394 scopus 로고
    • Packing measure, and its evaluation for a Brownian path
    • MR776398 87a:28002
    • S. James Taylor and Claude Tricot. Packing measure, and its evaluation for a Brownian path. Trans. Amer. Math. Soc., 288(2):679-699, 1985. MR776398 (87a:28002)
    • (1985) Trans. Amer. Math. Soc. , vol.288 , Issue.2 , pp. 679-699
    • Taylor, S.J.1    Tricot, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.