TIL about Khinchin's constant and an apparent corollary that yields a huge class of concrete 1-1 mappings with measure-zero range.
Just read about it on WP. The "apparent corollary" was my own thoughts (functions defined by action on CF coefficients).
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E.g. if f(x) is defined by scaling all CF coefficients of x by a constant, then Range(f) has measure zero. Many more similar ex.
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