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math.DS2004
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…
math.DS2004
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…
math.DS2004
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…