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.

CARBONE, LUCIANO;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/11588/101710
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