21 citations · 155 across the 24 of their papers we have counts for
3 papers · 1 filter
Discontinuity of straightening in anti-holomorphic dynamics: II
Hiroyuki Inou, Sabyasachi Mukherjee
In [M3], Milnor found Tricorn-like sets in the parameter space of real cubic polynomials. We give a rigorous definition of these Tricorn-like sets as suitable renormalization loci,…
Circle packings, kissing reflection groups and critically fixed anti-rational maps
Russell Lodge, Yusheng Luo, Sabyasachi Mukherjee
In this paper, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simpl…
Bers Slices in Families of Univalent Maps
Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee
We construct embeddings of Bers slices of ideal polygon reflection groups into the classical family of univalent functions . This embedding is such that the conformal mating of…