continued fractions 1diophantine approximation 1ergodic theory 1function fields 1Hausdorff dimension 1
From the 1 of 3 linked papers with an AI index.
3 papers
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.RT2026
Computing quaternionic representations via twisted forms of Bruhat-Tits trees
Luis Arenas-Carmona, Claudio Bravo
This work is devoted to the study of representations of finite subgroups of the group of units of quaternion division algebras over a global or local field arising from the inclusi…
math.GR2024
Tessellations of an affine apartment by affine weight polytopes
Claudio Bravo, Auguste Hébert, Diego Izquierdo +1
Let $\A$ be a finite dimensional vector space and be a finite root system in $\A$. To this data is associated an affine poly-simplicial complex. Motivated by a forthcoming con…