34 citations · 125 across the 47 of their papers we have counts for
54 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 …
Polynomial valuations on plane polygons
Askold Khovanskii, Valentina Kiritchenko, Vladlen Timorin
Scissors congruence problems involving translations have prompted the study of translation invariant simple valuations. We review this classical theory from a naive and consistent…
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…
Valuations on polyhedra and topological arrangements
Askold Khovanskii, Valentina Kiritchenko, Vladlen Timorin
We revisit a classical theme of (general or translation invariant) valuations on convex polyhedra. Our setting generalizes the classical one, in a ``dual'' direction to previously…
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…