K. Drach

collaborators

12 papers

math.DS2026

Transcendental correspondences: when Fuchsian groups take over basins of entire maps

Kostiantyn Drach, Sabyasachi Mukherjee, Leticia Pardo-SimÃ³n

In this paper, we initiate a systematic study of $(\infty : \infty)$ holomorphic correspondences that naturally arise as conformal combinations (matings) of transcendental entire m…

math.DS2026

Characterisation of Stability for Interval Translation Maps

Kostiantyn Drach, Leon Staresinic, Sebastian van Strien

An interval translation map (ITM) is a piece-wise translation $T : I \to I$ defined on a finite partition $I_{1}, \dots, I_{r}$ of an interval $I$ into $r \geq 2$ subintervals. In…

math.DS2026

Topological Prevalence of Finite Type Interval Translation Maps

Kostiantyn Drach, Leon Staresinic, Sebastian van Strien

An interval translation map (ITM) is a map $T : I \to I$ defined as a piecewise translation on a finite partition of an interval $I$ into $r \geq 2$ subintervals. Unlike classi…

math.DS2026

Transversality for Interval Translation Maps

Kostiantyn Drach, Leon Staresinic, Sebastian van Strien

An interval translation map (ITM) is a piece-wise translation $T : I \to I$ defined on a finite partition $I_{1}, \dots, I_{r}$ of an interval $I$ into $r \geq 2$ subintervals. In…

math.DG2026

A reverse isoperimetric inequality in three-dimensional space forms

Kostiantyn Drach, Gil Solanes, Kateryna Tatarko

A $I^»$ -convex body in a three-dimensional space form $M^{3} (c)$ of constant curvature $c$ is a compact convex set $K$ whose boundary $\partial K$ has normal curvatures bounded below…

math.DG2026

Stability of reverse isoperimetric inequalities in the plane: area, Cheeger, and inradius

Kostiantyn Drach, Kateryna Tatarko

In this paper, we present sharp stability results for various reverse isoperimetric problems in $R^{2}$ . Specifically, we prove the stability of the reverse isoperimetric ine…