no code implementations • 4 Mar 2021 • Sourav Bhattacharya, Alexander Blokh
We show that the connectedness of the set of parameters for which the over-rotation interval of a bimodal interval map is constant.
Dynamical Systems
no code implementations • 20 Jan 2021 • Sourav Bhattacharya, Alexander Blokh, Dierk Schleicher
In the end we verify the \emph{Fatou conjecture} for the unicritical laminations and extend the \emph{Lavaurs algorithm} onto $\mathrm{UML}_d$.
Dynamical Systems Primary: 54F20, Secondary: 30C35
no code implementations • 1 Oct 2020 • Alexander Blokh, Lex Oversteegen, Vladlen Timorin
We prove fixed point results for branched covering maps $f$ of the plane.
Dynamical Systems Primary 37F45, 37F20, Secondary 37F10, 37F50
no code implementations • 15 Aug 2020 • Alexander Blokh, Peter Haissinsky, Lex Oversteegen, Vladlen Timorin
Holomorphic renormalization plays an important role in complex polynomial dynamics.
Dynamical Systems 37F20 (Primary), 37F10, 37C25 (Secondary)
