From the 1 of 7 linked papers with an AI index.
5 papers · 1 filter
Limit cubic laminations
A. Blokh, L. Oversteegen, V. Timorin
The paper studies limits of sequences of σ₃‑invariant dendritic laminations on the unit circle, describing how critical portraits converge and classifying the resulting laminations…
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 …
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…
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…
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…