arXiv subjects

Eugenio Trucco

Publications and source records attributed to Eugenio Trucco.

3 recordsLinked to original sources

arXiv2025

Puntajes máximos en el juego de dominó

In this work, we study the maximum scores that can be achieved in a team-based domino game. Specifically, we show that if the game ends because it is blocked, then the maximum score that can be obtained under this assumption is 107. -- En este trabajo estudiamos los puntajes máximos que se pueden obtener en una partida, por equipos, en el juego del dominó. Concretamente; nosotros mostramos que, si la partida termina porque el juego esta trancado, entonces el puntaje máximo que se puede obtener bajo este supuesto es de 107.

math.HO↗

arXiv2011

A non-archimedean Montel's theorem

We prove a version of Montel's theorem for analytic functions over a non-archimedean complete valued field. We propose a definition of normal family in this context, and give applications of our results to the dynamics of non-archimedean entire functions.

math.AG↗

arXiv2010

Wandering Fatou Components and Algebraic Julia Sets

We study the dynamics of polynomials with coefficients in a non-Archimedean field $K,$ where $K$ is a field containing a dense subset of algebraic elements over a discrete valued field $k.$ We prove that every wandering Fatou component is contained in the basin of a periodic orbit. We obtain a complete description of the new Julia set points that appear when passing from $K$ to the Berkovich line over $K$. We give a dynamical characterization of polynomials having algebraic Julia sets. More precisely, we establish that a polynomial with algebraic coefficients has algebraic Julia set if every critical element is nonrecurrent.

math.DS↗