11 citations · 13 across the 5 of their papers we have counts for
5 papers
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…
Wild recurrent critical points
Juan Rivera-Letelier
It is conjectured that a rational map whose coefficients are algebraic over $\Q_p$ has no wandering components of the Fatou set. R. Benedetto has shown that any counter example to…
On the Topology of Solenoidal Attractors of the Cylinder
Rodrigo Bamón, Jan Kiwi, Juan Rivera-Letelier +1
We study the dynamics of skew product endomorphisms acting on the cylinder $\cyl$, of the form $$ \tht \mapsto (\ell θ, \la θ+ τ(θ)), $$ where is an integer, $\la \i…