5 citations · 6 across the 5 of their papers we have counts for
6 papers
Irrational rotation dynamics for unimodal maps
Konstantin Bogdanov, Alexander Bufetov
The first result of the paper (Theorem 1.1) is an explicit construction of unimodal maps that are semiconjugate, on the post-critical set, to the circle rotation by an arbitrary ir…
Infinite-dimensional Thurston theory and transcendental dynamics IV: dependence on parameters and escape on (pre-)periodic rays
Konstantin Bogdanov
We consider transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. Based on their classifi…
Infinite-dimensional Thurston theory and transcendental dynamics III: entire functions with escaping singular orbits in the degenerate case
Konstantin Bogdanov
We classify transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. We focus on the case wh…
Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits
Konstantin Bogdanov
We classify transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. The construction involv…
Infinite-dimensional Thurston theory and transcendental dynamics I: infinite-legged spiders
Konstantin Bogdanov
We develop techniques that lay out a basis for generalizations of the famous Thurston's Topological Characterization of Rational Functions for an infinite set of marked points and…
Antiholomorphic perturbations of Weierstrass Zeta functions and Green's function on tori
Konstantin Bogdanov, Khudoyor Mamayusupov, Sabyasachi Mukherjee +1
In \cite{BeEr}, Bergweiler and Eremenko computed the number of critical points of the Green's function on a torus by investigating the dynamics of a certain family of antiholomorph…