11 citations · 18 across the 20 of their papers we have counts for
29 papers
Bounded-orbit wandering domains do not exist
Kostiantyn Drach, Leticia Pardo-Simón, Beno Učakar
This paper establishes that transcendental entire functions do not have wandering Fatou components whose forward orbit is bounded. This settles a long-standing question in transcen…
Transcendental correspondences: when Fuchsian groups take over basins of entire maps
Kostiantyn Drach, Sabyasachi Mukherjee, Leticia Pardo-Simón
In this paper, we initiate a systematic study of holomorphic correspondences that naturally arise as conformal combinations (matings) of transcendental entire m…
Characterisation of Stability for Interval Translation Maps
Kostiantyn Drach, Leon Staresinic, Sebastian van Strien
An interval translation map (ITM) is a piece-wise translation defined on a finite partition of an interval into subintervals. In…
Topological Prevalence of Finite Type Interval Translation Maps
Kostiantyn Drach, Leon Staresinic, Sebastian van Strien
An interval translation map (ITM) is a map defined as a piecewise translation on a finite partition of an interval into subintervals. Unlike classi…
Transversality for Interval Translation Maps
Kostiantyn Drach, Leon Staresinic, Sebastian van Strien
An interval translation map (ITM) is a piece-wise translation defined on a finite partition of an interval into subintervals. In…
A reverse isoperimetric inequality in three-dimensional space forms
Kostiantyn Drach, Gil Solanes, Kateryna Tatarko
A -convex body in a three-dimensional space form of constant curvature is a compact convex set whose boundary has normal curvatures bounded below b…