Matías Alvarado

activity

20172026

collaborators

9 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.NT2026

Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve

Matias Alvarado, Patricio Pérez-Piña

We study a distribution problem over global function fields. More precisely, we describe the asymptotic distribution of rank $2$ CM Drinfeld modules among the irreducible component…

math.DS2026

Multifractal analysis of power means for the Schneider map on $p Z_{p}$

Matias Alvarado, Nicolás Arévalo-Hurtado

We study the asymptotic power means of the coefficients associated with the Schneider continued fraction map on $p Z_{p}$ . Using tools from thermodynamic formalism, we comput…

math.DS2026

The Lyapunov spectrum for Schneider map on $p Z_{p}$

Matias Alvarado, Nicolás Arévalo-Hurtado

We study the thermodynamic formalism associated with the Schneider map on the p-adic integers $p Z_{p}$ . By introducing a geometric potential that captures the expansion of…

math.NT2025

Counting algebraic points of bounded degree on curves

Matias Alvarado

Let $X$ be a smooth projective curve over a number field $k$ . Let $f : X \to P^{1}$ be a non-constant morphism that realizes the gonality of $X$ . In this article we stud…

math.NT2025

Explicit Zsigmondy bounds for families of Drinfeld modules of rank 2