Extremely non-normal continued fractions

Acta Arithmetica

Volumn 108, Issue 2, 2003, Pages 191-202

  Olsen, L ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

Baire category; Continued fractions; Divergence points; Hausdorff dimension; Packing dimension

Indexed keywords

EID: 0042172897     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa108-2-8     Document Type: Article

References (9)

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4. [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley-Interscience, New York, 1974.
5. [Lé] P. Levy, Théorie de l'addition des variables aléatoires, Gauthier-Villars, Paris, 1937.
6. [Ol1] L. Olsen, Applications of multifractal divergence points to sets of numbers defined by their N-adic expansion, Math. Proc. Cambridge Philos. Soc., to appear.
7. [Ol2] _, Extremely non-normal numbers, preprint, 2002.
8. [Ša1] T. Šalát, Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen, Czechoslovak Math. J. 93 (1968), 489-522.
9. [Ša2] _, Bemerkung zu einem Satz von P. Lévy in der metrischen Theorie der Kettenbrüche, Math. Nachr. 41 (1969), 91-94.