17 citations · 72 across the 33 of their papers we have counts for
42 papers
Limit cubic laminations
A. Blokh, L. Oversteegen, V. Timorin
Let be the tripling map of the unit circle. For sequences of -invariant dendritic laminations we study limits $(\overline{c}…
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 …
Root laminations of arbitrary degree
Alexander Blokh, Lex Oversteegen, Vladlen Timorin
This paper studies the space of degree invariant q-laminations, i.e., geodesic laminations invariant under the -tupling map of the circle and associated with equivalence r…
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\…
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…