Construction of μ-normal sequences
Madritsch, Manfred G. · Mance, Bill
Original · EN
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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