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math.NT2015
Continued fraction normality is not preserved along arithmetic progressions
Byron Heersink, Joseph Vandehey
It is well known that if is the base- expansion of a number normal to base-, then the numbers for , are all no…
math.DS2015
An effective estimate for the Lebesgue measure of preimages of iterates of the Farey map
Byron Heersink
Using techniques from infinite ergodic theory, Kessebohmer and Stratmann determined the asymptotic behavior of the Lebesgue measure of sets of the form , where $[α,β]\…