S. Strien

collaborators

5 papers

math.DS2026

Intermingled basins: Kan's example on the Riemann sphere

Abbas Fakhari, Ale Jan Homburg, Sebastian van Strien

Kan's discovery of dynamical systems with two attractors whose basins of attraction both have full support, featured specific examples of skew product systems of interval diffeomor…

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…