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math.NT2012
Construction of μ-normal sequences
Manfred G. Madritsch, Bill Mance
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…
math.NT2012
Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists
Bill Mance, Jimmy Tseng
We show that the set of numbers with bounded Lüroth expansions (or bounded Lüroth series) is winning and strong winning. From either winning property, it immediately follows that t…