Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Makarov, Nikolai A."'
Autor:
Makarov, Nikolai, Poltoratski, Alexei
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 to extend the classical resultss developed in the work of Marchenko, G
Externí odkaz:
http://arxiv.org/abs/2204.08395
Autor:
Kang, Nam-Gyu, Makarov, Nikolai
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 statistical fields generated by background charge modification of the Gaussian f
Externí odkaz:
http://arxiv.org/abs/2111.10057
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 function lead to explicit formulas for the dynamical system that gove
Externí odkaz:
http://arxiv.org/abs/2011.05714
Publikováno v:
Mathematische Zeitschrift, 300:2771-2808, 2022
We construct embeddings of Bers slices of ideal polygon reflection groups into the classical family of univalent functions $\Sigma$. This embedding is such that the conformal mating of the reflection group with the anti-holomorphic polynomial $z\maps
Externí odkaz:
http://arxiv.org/abs/2007.02429
Publikováno v:
Trans. Amer. Math. Soc. 374 (2021), 4839-4893
We study rational functions $f$ of degree $d+1$ such that $f$ is univalent in the exterior unit disc, and the image of the unit circle under $f$ has the maximal number of cusps ($d+1$) and double points $(d-2)$. We introduce a bi-angled tree associat
Externí odkaz:
http://arxiv.org/abs/1908.05813
Publikováno v:
Advances in Mathematics, 385:107766, 2021
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 consider a family of quadrature domains obtained by restricting the Che
Externí odkaz:
http://arxiv.org/abs/1907.09107
We continue our exploration of the family $\mathcal{S}$ of Schwarz reflection maps with respect to the cardioid and a circle which was initiated in our earlier work. We prove that there is a natural combinatorial bijection between the geometrically f
Externí odkaz:
http://arxiv.org/abs/1812.01573
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 Schwarz reflection with respect to the deltoid, and Schwarz reflections
Externí odkaz:
http://arxiv.org/abs/1811.04979
Autor:
Kang, Nam-Gyu, Makarov, Nikolai G.
We present analytical implementation of conformal field theory on a compact Riemann surface. We consider statistical fields constructed from background charge modifications of the Gaussian free field and derive Ward identities which represent the Lie
Externí odkaz:
http://arxiv.org/abs/1708.07361
Publikováno v:
Selecta Mathematica, New Series; Nov2024, Vol. 30 Issue 5, p1-77, 77p
