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Multifractal spectrum in a self-similar attractor in the unit interval

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주제분류수학

초록

We study the multifractal spectrum of two dimensionally indexed classes whose members are distribution sets of a self-similar attractor in the unit interval.

Abstract

We study the multifractal spectrum of two dimensionally indexed classes whose members are distribution sets of a self-similar attractor in the unit interval.

참고문헌 (10)

  1. I. S. Baek, "Relation between spectral classes of a self-similar Cantor sets", J. Math. Anal. Appl, 292(1), pp.294~302 (2004)
  2. 백인수, "Dimensions of distribution sets in the unit interval", 대한수학회논문집, 22(4), pp.547~552 (2007), 대한수학회
  3. IIn-Soo Baek, "Dimensions of the subsets in the spectral classes of a self-similar Cantor set", Journal of Applied Mathematics and Informatics, 26(3-4), pp.733~738 (2008), 한국전산응용수학회
  4. 백인수, "CHARACTERISTIC MULTIFRACTAL IN A SELF-SIMILAR CANTOR SET", 충청수학회지, 21(2), pp.157~163 (2008), 충청수학회
  5. I. S. Baek, "Multifractal characterization of the Riesz-N´agy-Tak´acs function", ~
  6. I. S. Baek, "Divergence points of self-similar measures and packing dimension", Adv. Math, 214(1), pp.267~287 (2007)
  7. K. J. Falconer, "The Fractal Geometry" (1990), John Wiley and Sons
  8. K. J. Falconer, "Techniques in Fractal Geometry" (1997), John Wiley and Sons
  9. H. H. Lee, "A note on equivalent interval covering systems for packing dimension of R", J. Korean Math. Soc, 28(2), pp.195~205 (1991)
  10. L. Olsen, "Normal and non-normal points of self-similar sets and divergence points of self-similar measures", J. London Math. Soc, 67(2), pp.103~122 (2003)

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