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math.DS2023
Odometers, Backward continued fractions and counting rationals
Godofredo Iommi, Mario Ponce
It has been more than twenty years since Moshe Newman, based on work by Neil Calkin and Herbert Wilf, introduced an explicit bijection between the rational and natural numbers. Int…
math.DS2023
Hölder continuity of measures for heavy tail potentials
Godofredo Iommi, Dalia Terhesiu, Mike Todd
For a class of potentials satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder cont…