3 papers
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…
math.DS2001
Weak Hyperbolicity on Periodic Orbits for Polynomials
Juan E. Rivera-Letelier
We prove that if the multipliers of the repelling periodic orbits of a complex polynomial grow at least like , for some , then the Julia set of the polynomial is l…