8 papers · 1 filter
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…
Rigidity of bounded-type Siegel polynomials
Kostiantyn Drach, Jonguk Yang
We establish rigidity for a class of higher-degree complex polynomials with irrationally indifferent dynamics. Specifically, we consider non-renormalizable (in the sense of Douady…
Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps
Kostiantyn Drach, Zhi Fu, Vadim Kaloshin +2
For a smooth expanding circle map, we show that the empirical distribution of Lyapunov exponents of periodic points of any fixed period is close to normal, with an error that decre…