A multifractal analysis of an interesting class of measures

Antonis Bisbas

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 37-42
  • ISSN: 0010-1354

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Bisbas, Antonis. "A multifractal analysis of an interesting class of measures." Colloquium Mathematicae 69.1 (1996): 37-42. <http://eudml.org/doc/210323>.

@article{Bisbas1996,
author = {Bisbas, Antonis},
journal = {Colloquium Mathematicae},
keywords = {Hausdorff dimension; multifractal; Rademacher Riesz products; coin tossing measure; Rademacher-Riesz product},
language = {eng},
number = {1},
pages = {37-42},
title = {A multifractal analysis of an interesting class of measures},
url = {http://eudml.org/doc/210323},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Bisbas, Antonis
TI - A multifractal analysis of an interesting class of measures
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 37
EP - 42
LA - eng
KW - Hausdorff dimension; multifractal; Rademacher Riesz products; coin tossing measure; Rademacher-Riesz product
UR - http://eudml.org/doc/210323
ER -

References

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  1. [1] P. Billingsley, Ergodic Theory and Information, Wiley, New York, 1965. Zbl0141.16702
  2. [2] A. Bisbas, A note on the distribution of digits in dyadic expansions, C. R. Acad. Sci. Paris 318 (1994), 105-109. Zbl0932.11051
  3. [3] A. Bisbas, On the distribution of digits in triadic expansions, preprint. 
  4. [4] A. Bisbas and C. Karanikas, On the Hausdorff dimension of Rademacher Riesz products, Monatsh. Math. 110 (1990), 15-21. 
  5. [5] A. Bisbas and C. Karanikas, On the continuity of measures, Appl. Anal. 48 (1993), 23-35. 
  6. [6] J. R. Blum and B. Epstein, On the Fourier transforms of an interesting class of measures, Israel J. Math. 10 (1971), 302-305. Zbl0228.60005
  7. [7] H. G. Eggleston, Sets of fractional dimensions which occur in some problems of number theory, Proc. London Math. Soc. (2) 54 (1952), 42-93. Zbl0045.16603
  8. [8] A. H. Fan, Quelques propriétés des produits de Riesz, Bull. Sci. Math. 117 (1993), 421-439. 
  9. [9] C. C. Graham and O. C. McGehee, Essays in Commutative Harmonic Analysis, Springer, Berlin, 1979. Zbl0439.43001
  10. [10] J.-P. Kahane, Fractals and random measures, Bull. Sci. Math. 117 (1993), 153-159. Zbl0776.28003
  11. [11] G. Marsaglia, Random variables with independent binary digits, Ann. Math. Statist. 42 (1971), 1922-1929. Zbl0239.60015
  12. [12] R. Salem, On singular monotonic functions which are strictly increasing, Trans. Amer. Math. Soc. 53 (1943), 427-439. Zbl0060.13709

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