17 citations · 93 across the 40 of their papers we have counts for
53 papers
Renormalization, equipotential annuli and the Hausdorff measure
Alexander Blokh, Lex Oversteegen, Vladlen Timorin
For a complex single variable polynomial of degree , let be its filled Julia set, i.e., the union of all bounded orbits. Assume that has an invariant component …
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\…
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 …
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…
Maps with no a priori bounds
Alexander Blokh, Genadi Levin, Lex Oversteegen +1
The modulus of a polynomial-like (PL) map is an important invariant that controls distortion of the straightening map and, hence, geometry of the corresponding PL Julia set. Lower…
Lavaurs algorithm for cubic symmetric polynomials
Alexander Blokh, Lex G. Oversteegen, Nikita Selinger +2
To investigate the degree connectedness locus, Thurston studied \emph{-invariant laminations}, where is the -tupling map on the unit circle, and built a topologic…