4 citations · 8 across the 14 of their papers we have counts for
13 papers · 1 filter
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…
Aperiodic points for outer billiards
Anton Belyi, Alexei Kanel-Belov, Philipp Rukhovich +1
Euclidean outer billiard on a regular polygon (that is not a triangle, square or a hexagon) has aperiodic points, i.e., points where all iterates of the outer billiard map are defi…
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 …