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THE PARAMETER DISTRIBUTION SET FOR A SELF-SIMILAR MEASURE

백인수
대한수학회 (The Korean Mathematical Society)|2012.09|대한수학회보 (Bulletin of the KMS)|제49권 제5호|pp. 1041-1055

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참고문헌

키워드

Hausdorff dimensionpacking dimensiondistribution setlocal dimension setself-similar set
주제분류수학

초록

The parameter lower (upper) distribution set corresponds to the cylindrical lower or upper local dimension set for a self-similar measure on a self-similar set satisfying the open set condition.

Abstract

The parameter lower (upper) distribution set corresponds to the cylindrical lower or upper local dimension set for a self-similar measure on a self-similar set satisfying the open set condition.

참고문헌 (13)

  1. 백인수, "Relation between spectral classes of a self-similar Cantor set", JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 292(1), pp.294~302, ACADEMIC PRESS INC ELSEVIER SCIENCE
  2. cs function, "대한수학회보", 2011, 261~275, pp.대한수학회
  4. 백인수, "Divergence points of self-similar measures and packing dimension", ADVANCES IN MATHEMATICS, 214(1), pp.267~287, ACADEMIC PRESS INC ELSEVIER SCIENCE
  5. R. Cawley, "Multifractal decompositions of Moran fractals", Adv. Math, 92(2), pp.196~236 (1992)
  6. G. A. Edgar, "Measure, Topology, and Fractal Geometry" (1990), Springer Verlag
  7. M. Elekes, "Self-similar and self-affine sets; measures of the intersection of two copies", Ergodic Theory Dynam. Systems, 30(2), pp.399~440 (2010)
  8. K. J. Falconer, "Techniques in Fractal Geometry" (1997), John Wiley and Sons
  9. W. Li, "An equivalent definition of packing dimension and its application", Nonlinear Anal. Real World Appl, 10(3), pp.1618~1626 (2009)
  10. M. Mor´an, "Multifractal components of multiplicative set functions", Math. Nachr, 229, pp.129~160 (2001)
  11. L. Olsen, "A multifractal formalism", Adv. Math, 116(1), pp.82~196 (1995)
  12. L. Olsen, "Normal and non-normal points of self-similar sets and diver- gence points of a self-similar measures", J. London Math. Soc, 67(3), pp.103~122 (2003)
  13. A. Schief, "Separation properties for self-similar sets", Proc. Amer. Math. Soc, 122(1), pp.111~115 (1994)

관련 논문AI추천

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