2 papers
math.DS2026
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 …
math.DS2025
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…