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Volumn 122, Issue 4, 1996, Pages 387-399

Hausdorff measure of infinitely generated self-similar sets

Author keywords

Dimension; Fractal; Self similar set

Indexed keywords


EID: 0010902305     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01326037     Document Type: Article
Times cited : (34)

References (17)
  • 5
    • 0003292137 scopus 로고
    • The Hausdorff dimension of some fractals and attractors of overlapping construction
    • FALCONER, K. J.: The Hausdorff dimension of some fractals and attractors of overlapping construction. J. Statist. Phys. 47, 123-132 (1987).
    • (1987) J. Statist. Phys. , vol.47 , pp. 123-132
    • Falconer, K.J.1
  • 6
    • 84966211167 scopus 로고
    • Dimension and measures of quasi self-similar sets
    • FALCONER, K. J.: Dimension and measures of quasi self-similar sets. Proc. Amer. Math. Soc. 102, 543-554 (1989).
    • (1989) Proc. Amer. Math. Soc. , vol.102 , pp. 543-554
    • Falconer, K.J.1
  • 7
    • 84985386005 scopus 로고
    • Infinite iterated function systems
    • FERNAU, H.: Infinite iterated function systems, Math. Nachr. 170, 79-91 (1994).
    • (1994) Math. Nachr. , vol.170 , pp. 79-91
    • Fernau, H.1
  • 8
    • 0003322695 scopus 로고
    • The exact hausdorff dimension in random recursive constructions
    • GRAF, S., MAULDIN, D.: The exact Hausdorff dimension in random recursive constructions. Memoirs Amer. Math. Soc. 381 (1988).
    • (1988) Memoirs Amer. Math. Soc. , vol.381
    • Graf, S.1    Mauldin, D.2
  • 9
    • 0000637971 scopus 로고
    • On the structure of self-similar sets
    • HATA, M.: On the structure of self-similar sets. Japan J. Appl. Math. 2, 381-414 (1984).
    • (1984) Japan J. Appl. Math. , vol.2 , pp. 381-414
    • Hata, M.1
  • 10
    • 0001265433 scopus 로고
    • Fractal sets and similarity
    • HUTCHINSON, J. E.: Fractal sets and similarity. Indiana Univ. Math. J. 30, 713-747 (1981).
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.E.1
  • 11
    • 0006799223 scopus 로고
    • Random recursive constructions: Asymptotic geometric and topological properties
    • MAULDIN, R. D., WILLIAMS, S. C.: Random recursive constructions: Asymptotic geometric and topological properties. Trans. Amer. Math Soc. 259, 323-346 (1986).
    • (1986) Trans. Amer. Math Soc. , vol.259 , pp. 323-346
    • Mauldin, R.D.1    Williams, S.C.2
  • 12
    • 0039605194 scopus 로고    scopus 로고
    • Dimension and measures in infinite iterated function systems
    • to appear
    • MAULDIN, R. D., URBANSKI, M.: Dimension and measures in infinite iterated function systems. Proc. London Math. Soc. (to appear).
    • Proc. London Math. Soc.
    • Mauldin, R.D.1    Urbanski, M.2
  • 15
    • 0039771567 scopus 로고
    • Additive functions of intervals and Hausdorff measure
    • MORAN, P.A. P.: Additive functions of intervals and Hausdorff measure. Proc. Cambridge Phil. Soc. 42, 15-23 (1946).
    • (1946) Proc. Cambridge Phil. Soc. , vol.42 , pp. 15-23
    • Moran, P.A.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.