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math.DS2023
Immediate renormalization of cubic complex polynomials with empty rational lamination
Alexander Blokh, Lex Oversteegen, Vladlen Timorin
A cubic polynomial with a non-repelling fixed point is said to be immediately renormalizable if there exists a (connected) QL invariant filled Julia set such that $b\…
math.DS2023
Symmetric cubic polynomials
A. Blokh, L. Oversteegen, N. Selinger +2
We describe a model for the boundary of the connectedness locus of the parameter space of cubic symmetric polynomials …
math.DS2023
A model of the cubic connectedness locus
Alexander Blokh, Lex Oversteegen, Vladlen Timorin +1
We describe a locally connected model of the boundary of the cubic connectedness locus. The model is obtained by constructing a decomposition of the space of critical portraits and…