17 citations · 93 across the 40 of their papers we have counts for
4 papers · 1 filter
Monotonicity of the over-rotation intervals for bimodal maps
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. In other words, the over-rotation interval is a…
Immediate renormalization of complex polynomials
Alexander Blokh, Lex Oversteegen, Vladlen Timorin
A cubic polynomial with a non-repelling fixed point is said to be \emph{immediately renormalizable} if there exists a (connected) quadratic-like invariant filled Julia set…
Modeling core parts of Zakeri slices I
Alexander Blokh, Lex Oversteegen, Anastasia Shepelevtseva +1
The paper deals with cubic 1-variable polynomials whose Julia sets are connected. Fixing a bounded type rotation number, we obtain a slice of such polynomials with the origin being…
Unicritical Laminations
Sourav Bhattacharya, Alexander Blokh, Dierk Schleicher
Thurston introduced \emph{invariant (quadratic) laminations} in his 1984 preprint as a vehicle for understanding the connected Julia sets and the parameter space of quadratic polyn…