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Distribution modulo 1 and the lexicographic world

Allouche, J-P. and Glen, A. (2009) Distribution modulo 1 and the lexicographic world. Annales des sciences mathématiques du Québec, 33 (2). pp. 125-143.

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Abstract

We give a complete description of the minimal intervals containing all fractional parts {x*2^n}, for some positive real number x, and for all n >= 0.

Publication Type: Journal Article
Publisher: Association mathématique du Québec
Publishers Website: http://www.labmath.uqam.ca/~annales/english/index....
URI: http://researchrepository.murdoch.edu.au/id/eprint/3884
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