Abstract

We introduce a family of maps {Sη}η∈[1,2] defined on [-1, 1] by Sη (x) = 2x - dη, where d∈{-1,0,1}. Each map Sη generates signed binary expansions, i.e., binary expansions with digits -1, 0 and 1. We study the frequency of the digit 0 in typical expansions as a function
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