21 citations · 155 across the 24 of their papers we have counts for
3 papers · 1 filter
On Dynamical Gaskets Generated by Rational Maps, Kleinian Groups, and Schwarz Reflections
Russell Lodge, Mikhail Lyubich, Sergei Merenkov +1
According to the Circle Packing Theorem, any triangulation of the Riemann sphere can be realized as a nerve of a circle packing. Reflections in the dual circles generate a Kleinian…
Univalent Polynomials and Hubbard Trees
Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee
We study rational functions of degree such that is univalent in the exterior unit disc, and the image of the unit circle under has the maximal number of cusps ($d…
Schwarz reflections and anti-holomorphic correspondences
Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov +1
In this paper, we continue exploration of the dynamical and parameter planes of one-parameter families of Schwarz reflections that was initiated in \cite{LLMM1,LLMM2}. Namely, we c…