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Volumn 27, Issue 1, 2001, Pages 1-16

Multifractal structure of convolution of the cantor measure

Author keywords

Cantor measure; convolution; local dimension; multifractal; multiple representation; probability

Indexed keywords


EID: 0035402392     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.2000.0683     Document Type: Article
Times cited : (43)

References (11)
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  • 4
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    • Iterated function systems with overlaps
    • to appear
    • A. Fan, K. S. Lau, and, S. M. Ngai, Iterated function systems with overlaps, Asian J. Math, to appear.
    • Asian J. Math
    • Fan, A.1    Lau, K.S.2    Ngai, S.M.3
  • 5
    • 21744461099 scopus 로고    scopus 로고
    • The local dimensions of the Bernoulli convolution associated with the golden number
    • Hu T. The local dimensions of the Bernoulli convolution associated with the golden number. Trans. Amer. Math. Soc. 349:1997;2917-2940.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 2917-2940
    • Hu, T.1
  • 6
    • 0033555068 scopus 로고    scopus 로고
    • Multifractal measure and a weak separation condidtion
    • Lau K. S., Ngai S. M. Multifractal measure and a weak separation condidtion. Adv. Math. 141:1999;45-96.
    • (1999) Adv. Math. , vol.141 , pp. 45-96
    • Lau, K.S.1    Ngai, S.M.2
  • 7
    • 0007022125 scopus 로고    scopus 로고
    • Second order self-similar identities
    • Lau K. S., Ngai S. Second order self-similar identities. Indiana Univ. Math. J. 49:2000;925-972.
    • (2000) Indiana Univ. Math. J. , vol.49 , pp. 925-972
    • Lau, K.S.1    Ngai, S.2
  • 8
    • 0001523338 scopus 로고    scopus 로고
    • Projecting the one-dimensional Sierpinski Gasket
    • Kenyon R. Projecting the one-dimensional Sierpinski Gasket. Israel J. Math. 97:1997;221-238.
    • (1997) Israel J. Math , vol.97 , pp. 221-238
    • Kenyon, R.1
  • 10
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    • The Hausdorff dimension of λ-expansions with deleted digits
    • Pollicott M., Simon K. The Hausdorff dimension of λ-expansions with deleted digits. Trans. Amer. Math. Soc. 347:1995;967-983.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 967-983
    • Pollicott, M.1    Simon, K.2
  • 11
    • 0002546724 scopus 로고    scopus 로고
    • Some studies of class of self-similar fractals with overlap structure
    • Rao H., Wen Z. Y. Some studies of class of self-similar fractals with overlap structure. Adv. Appl. Math. 20:1998;50-72.
    • (1998) Adv. Appl. Math. , vol.20 , pp. 50-72
    • Rao, H.1    Wen, Z.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.