66 citations · 327 across the 22 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.DS2018★ 9 cited
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…
math.DS2018★ 14 cited
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…
math-ph2018★ 11 cited
Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials
Seung-Yeop Lee, Meng Yang
We show that the planar orthogonal polynomials with logarithmic singularities in the potential are the multiple orthogonal polynomials (Hermite-Padé polynomials) of Type II wit…