S. Romaña

activity

20232026

collaborators

4 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 Romaña

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.DS2024

Mean dimension explosion of induced homeomorphisms

Gabriel Lacerda, Sergio Romaña

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…

math.DS2023

Typical conservative homeomorphisms have total metric mean dimension