대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권3호
  • /
  • Pages.469-475
  • /
  • 2004
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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DIMENSION OF DEFORMED SELF-SIMILAR SETS

  • Kim, Tae-Hee (Department of Mathematics Kyungpook National University) ;
  • Park, Jung-Ju (Department of Mathematics Kyungpook National University) ;
  • Lee, Hung-Hwan (Department of Mathematics Kyungpook National University)
  • 발행 : 2004.07.01
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초록

We generalize S. Ikeda's results for perturbed cantor sets showing how we get the dimensions for deformed self-similar sets.

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참고문헌

  1. Fractal geometry-Mathematical foundations and applications K. J. Falconer
  2. Hiroshima Math. J. v.25 On loosely self-similar sets S. Ikeda
  3. Topology Appl. Dimensions of Measures on perturbed Cantor set S. Ikeda;M. Nakamura
  4. Korean J. Math. Soc. Packing dimension for deformed self-similar sets T. H. Kim;H. H. Lee
  5. Hiroshima Math. J. v.32 The Hausdorff dimension for deformed self-similar sets T. H. Kim;S. P. Hong;H. H. Lee
  6. Hausdorff measures C. A. Rogers
  7. Trans. Amer. Math. Soc. v.288 The packing measure and its evaluation for a Brownian path S. J. Taylor;C. Tricot https://doi.org/10.2307/1999958