4 citations · 7 across the 9 of their papers we have counts for
9 papers
When a meromorphic function that omits three values is of bounded type
Alexandre Eremenko, Aleksei Kulikov, Mikhail Sodin
Suppose that a function is meromorphic in the domain , where is an even, positive, and continuous function…
Carathéodory convergence and the conformal type problem
Alexandre Eremenko, Sergei Merenkov
We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the confor…
On the Shapes of Rational Lemniscates
Christopher J. Bishop, Alexandre Eremenko, Kirill Lazebnik
A rational lemniscate is a level set of where is rational. We prove that any planar Euler graph can be approximated, in a s…
The work of Walter Bergweiler in value distribution of meromorphic functions
Alexandre Eremenko
This is a colloquium talk in CAU, Kiel delivered on June 7, 2024 on the occasion of Walter Bergweiler's retirement. Walter's work on meromorphic functions consists of two parts: ge…
Iossif Ostrovskii's work on entire functions
Alexandre Eremenko, Mikhail Sodin
The theory of entire functions and its applications were at the center of Ostrovskii's research interests throughout his entire career. He made lasting contributions to several asp…
Geometric theory of meromorphic functions
Alexandre Eremenko
This is a survey of results on the following problem. Consider a simply connected Riemann surface spread over the Riemann sphere. How are the properties of the uniformizing functio…
An extremal problem for a class of entire functions of exponential type
Alexandre Eremenko, Peter Yuditskii
We find the exact upper estimate for the upper density of zeros of entire functions of exponential type whose indicator diagram is contained in a given interval.
On the length of lemniscates
Alexandre Eremenko, Walter Hayman
We show that for a monic polynomial p of degree d, the length of the level set {z: |p(z)|=1} is at most 9.2 d, which improves an earlier estimate due to P. Borwein. For d=2 we show…
Problems in holomorphic dynamics
Ben Bielefeld, Mikhail Lyubich, Lennart Carleson +7
Contents: 1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in quasiconformal surgery; Curt McMullen, Rational maps and Teichmüller space; John Milnor, Thurston'…