153 citations · 544 across the 20 of their papers we have counts for
23 papers
Etudes for the inverse spectral problem
Nikolai Makarov, Alexei Poltoratski
In this note we study inverse spectral problems for canonical Hamiltonian systems, which encompass a broad class of second order differential equations on a half-line. Our goal is…
Conformal field theory on the Riemann sphere and its boundary version for SLE
Nam-Gyu Kang, Nikolai Makarov
From conformal field theory on the Riemann sphere, we implement its boundary version in a simply-connected domain using the Schottky double construction. We consider the statistica…
Pole dynamics and an integral of motion for multiple SLE(0)
Tom Alberts, Sung-Soo Byun, Nam-Gyu Kang +1
We describe the Loewner chains of the real locus of a class of real rational functions whose critical points are on the real line. Our main result is that the poles of the rational…
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…
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…