Simultaneously preperiodic points for a family of polynomials in positive characteristic Page 1
Canad. J. Math. 2024, pp. 1–23 http://dx.doi.org/10.4153/S0008414X24000841 © The …

We study the dynamics of algebraic families of maps on Pn, over the field C of complex
numbers, and the geometry of their preperiodic points. The goal of this note is to formulate a …

We study the dynamics of algebraic families of maps on $\mathbb {P}^ N $, over the field
$\mathbb {C} $ of complex numbers, and the geometry of their preperiodic points. The goal …

We study one-dimensional algebraic families of pairs given by a polynomial with a marked
point. We prove an" unlikely intersection" statement for such pairs thereby exhibiting strong …

We introduce a numerical criterion which allows us to bound the degree of any algebraic
integer having all of Galois conjugates in an interval of length less than 4. Using this …

The first author proved in [Ghi] that given a field K of characteristic p> 0, given an integer d≥
2, and also given α, β∈ K, then for the family of polynomials fλ (x):= xd+ λ (parameterized by …

Ce mémoire regroupe et synthétise l'essentiel de les travaux de recherche depuis la
soutenance de ma thèse en novembre 2011, et ce en vue de l'obtention de l'habilitation à …