continued fractions 1diophantine approximation 1ergodic theory 1function fields 1Hausdorff dimension 1
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math.NT2026
On some Diophantine and Ergodic properties of the Schneider map over function fields
Matias Alvarado, Nicolás Arévalo-Hurtado, Claudio Bravo
We introduce and study continued fractions defined by Schneider-like maps over polynomial rings, where the maps are associated with a fixed polynomial of arbitrary degree. In parti…
math.NT2024
A Continued Fractions Theory for the completion of the Puiseux field
Luis Arenas-Carmona, Claudio Bravo
In this work, we study a continued fractions theory for the topological completion of the field of Puiseux series. As usual, we prove that any element in the completion can be deve…