Abstract:In seemingly unrelated statements, yet interconnected proofs, we provide two distinct structural classifications related to normal numbers and n-adic doubling measures. The motivation for this is originally due to refined questions about unions of certain doubling measures important in analysis; in particular we are able to classify n-adic doubling measures in a way that extends results of Wu from a single measure to an infinite union. However, the proof strategy that we employ is completely different from Wu'… Show more
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