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arXiv · 1206.4950

Construction of μ-normal sequences

Manfred G. Madritsch·Bill Mance
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Abstract

In the present paper we extend Champernowne's construction of normal numbers to provide sequences which are generic for a given invariant probability measure, which need not be the maximal one. We present a construction together with estimates and examples for normal numbers with respect to Lüroth series expansion, continued fractions expansion or $β$-expansion.

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Manfred G. Madritsch, Bill Mance. 2014-10-06. Construction of μ-normal sequences. https://arxiv.org/abs/1206.4950

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