S. Romaña

collaborators

3 papers

math.DS2026

Affine Anosov Maps on $R^{n}$ : Classification, Index Spectrum, and Stability at Infinity

Z. Li, A. Rojas, S. Romaña

For $n \geq 2$ , we classify the affine diffeomorphisms $f_{A, v} (x) = A x + v$ on $R^{n}$ that admit a complete Riemannian metric with respect to which they are Anosov. Such a metric…

math.DS2026

Rotation Sets and Topological Entropy for Random Circle Endomorphisms

Zixu Li, Simon Lloyd, Sergio RomaÃ±a

We study the topological dynamics of random circle endomorphisms of degree one over an ergodic measure-preserving dynamical system. Under an integrability assumption, we prove that…

math.DS2025

Mean dimension explosion of induced homeomorphisms

Gabriel Lacerda, Sergio RomaÃ±a

Given $X$ a compact metric space and $T : X \to X$ a continuous map, the induced hyperspace map $T_{K}$ acts on the hyperspace $K (X)$ of closed and nonempty subset…

Affine Anosov Maps on Rn: Classification, Index Spectrum, and Stability at Infinity

Rotation Sets and Topological Entropy for Random Circle Endomorphisms

Mean dimension explosion of induced homeomorphisms

Affine Anosov Maps on $R^{n}$ : Classification, Index Spectrum, and Stability at Infinity