DOI QR코드

DOI QR Code

DIMENSION OF DEFORMED SELF-SIMILAR SETS

Kim, Tae-Hee;Park, Jung-Ju;Lee, Hung-Hwan

  • Published : 2004.07.01

Abstract

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

Keywords

Hausdorff dimension;packing dimension;deformed self-similar set

References

  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