Leon Staresinic

collaborators

4 papers

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.DS2025

Density of Stable Interval Translation Maps

Kostiantyn Drach, Leon Staresinic, Sebastian van Strien

Assume that the interval $I = [0, 1)$ is partitioned into finitely many intervals $I_{1}, \dots, I_{r}$ and consider a map $T : I \to I$ so that $T_{∣ I_{s}}$ is a translation for each…