The problem of averaging of binary digits of numbers is considered and the sequence of the averages calculated on the first digits is taken into account for every t in [0; 1]. The Hausdorff dimensions of intersections of level sets of upper and lower limits of such sequences are computed.

Binary digits expansion of numbers: Hausdorff dimensions of intersections of level sets of averages' upper and lower limits

CARDONE G;
2004

Abstract

The problem of averaging of binary digits of numbers is considered and the sequence of the averages calculated on the first digits is taken into account for every t in [0; 1]. The Hausdorff dimensions of intersections of level sets of upper and lower limits of such sequences are computed.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12070/5572
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