S. Strien

activity

20022026

most citedQuasisymmetric rigidity in one-dimensional dynamics

10 citations · 20 across the 11 of their papers we have counts for

collaborators

11 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.DS2024

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…

math.DS2018★ 10 cited

Quasisymmetric rigidity in one-dimensional dynamics

Trevor Clark, Sebastian van Strien

In the late 1980's Sullivan initiated a programme to prove quasisymmetric rigidity in one-dimensional dynamics: interval or circle maps that are topologically conjugate are quasisy…

math.DS2018★ 4 cited

Dynamics of asymptotically holomorphic polynomial-like maps

Trevor Clark, Edson de Faria, Sebastian van Strien

The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of a…