4 papers · 1 filter
On locally distinguishing SierpiÅski dynamical systems
Sergei Merenkov
We prove that there is no local quasiconformal map between the limit set of a convex-cocompact Kleinian group and the Julia set of a postcritically finite rational map, provided th…
Quasiregular maps of SierpiÅski carpet Julia sets
Sergei Merenkov, Letian Shen
We prove that if and are postcritically finite rational maps whose Julia sets , respectively, are SierpiÅski carpets, and if is a quas…
David extension of circle homeomorphisms, welding, mating, and removability
Mikhail Lyubich, Sergei Merenkov, Sabyasachi Mukherjee +1
We provide a David extension result for circle homeomorphisms conjugating two dynamical systems such that parabolic periodic points go to parabolic periodic points, but hyperbolic…
On a question of Kwakkel and Markovic on existence of wandering domains with bounded geometry
Sergei Merenkov
A question of F. Kwakkel and V. Markovic on existence of C^1-diffeomorphisms of closed surfaces that permute a dense collection of domains with bounded geometry is answered in the…