66 citations · 327 across the 22 of their papers we have counts for
24 papers
Local Statistics in Normal Matrix Models with Merging Singularity
Torben Krüger, Seung-Yeop Lee, Meng Yang
We study the normal matrix model, also known as the two-dimensional one-component plasma at a specific temperature, with merging singularity. As the number of particles tends t…
Lemniscate ensembles with spectral singularity
Sung-Soo Byun, Seung-Yeop Lee, Meng Yang
We consider a family of random normal matrix models whose eigenvalues tend to occupy lemniscate type droplets as the size of the matrix increases. Under the insertion of a point ch…
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges
Seung-Yeop Lee, Meng Yang
We consider the planar orthogonal polynomial with respect to the measure supported on the whole complex plane $${\rm e}^{-N|z|^2} \prod_{j=1}^ν|z-a_j|^{2c_j}\,{\rm d} A(…
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…
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…