A multifractal analysis of an interesting class of measures

• Autorzy: Antonis Bisbas
• Języki publikacji: EN

Słowa kluczowe

EN

Hausdorff dimension; multifractal; Rademacher Riesz products

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 69
• Numer: 1
• Strony: 37-42

Daty

wydano

1996

otrzymano

1994-06-07

Twórcy

autor

Antonis Bisbas

• Department of Mathematics, University of Crete, Iraklion 71409, Greece

Bibliografia

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