3 papers
math.DS2003
On Hausdorff dimension of some Cantor attractors
Genadi Levin, Feliks Przytycki
We study what happens with the dimension of Feigenbaum-like attractors of smooth unimodal maps as the order of the critical point grows
math.DS2003
Dynamics and Universality of Unimodal Mappings with Infinite Criticality
Genadi Levin, Grzegorz Swiatek
We consider infinitely renormalizable unimodal mappings with topological type which is periodic under renormalization. We study the limiting behavior of fixed points of the renorma…
math.DS2002
A Markov partition for the Feigenbaum dynamics
Genadi Levin
We build a Markov partition of the Feigenbaum dynamical plane, and a system of "external rays", which are invariant under rescaling. Applications to geometry of the Feigenbaum map…