21 citations · 155 across the 24 of their papers we have counts for
3 papers · 1 filter
Schwarz reflections and the Tricorn
Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov +1
We continue our exploration of the family of Schwarz reflection maps with respect to the cardioid and a circle which was initiated in our earlier work. We prove that…
Dynamics of Schwarz reflections: the mating phenomena
Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov +1
We initiate the exploration of a new class of anti-holomorphic dynamical systems generated by Schwarz reflection maps associated with quadrature domains. More precisely, we study S…
On The Support of The Bifurcation Measure of Cubic Polynomials
Hiroyuki Inou, Sabyasachi Mukherjee
We construct new examples of cubic polynomials with a parabolic fixed point that cannot be approximated by Misiurewicz polynomials. In particular, such parameters admit maximal bif…