80 citations · 100 across the 6 of their papers we have counts for
6 papers
Theorie ergodique des fractions rationnelles sur un corps ultrametrique
Charles Favre, Juan Rivera-Letelier
We make the first steps towards an understanding of the ergodic properties of a rational map defined over a complete algebraically closed non-archimedean field. For such a rational…
Notes sur la droite projective de Berkovich
Juan Rivera-Letelier
The pourpose of these notes is to give an elementary description of one of the simplest Berkovich's spaces: that associated to the projective line of a complete and algebraically c…
Sur la structure des ensembles de Fatou p-adiques
Juan Rivera-Letelier
A classification of the periodic components of the Fatou set of -adic rational maps. Each such periodic component is either an immediate attracting basin or an open affinoid, wh…
Theoreme d'equidistribution de Brolin en dynamique p-adique
Charles Favre, Juan Rivera-Letelier
We prove an analog of the famous equidistribution theorem of Brolin for rational mappings in one variable defined over the p-adic field C_p. We construct a mixing invariant probabi…
Equidistribution quantitative des points de petite hauteur sur la droite projective
Charles Favre, Juan Rivera-Letelier
We introduce a new class of adelic heights on the projective line. We estimate their essential minimum and prove a result of equidistribution (at every place) for points of small h…
Une caracterisation des fonctions holomorphes injectives en analyse ultrametriqe
J. Rivera-Letelier
On montre qu'une fonction holomorphe non-constante definie sur un sous-espace analytique de $\CC_p$ est injective si et seulement si on a $$ | \frac{f(x) - f(y)}{{x - y)} |^2 =…