S. Romaña

activity

20232026

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3 papers · 1 filter

math.DS2026

Topological Expansivity and Shadowing for Anosov Diffeomorphisms

Z. Li, C. A. Morales, S. Romaña +1

We show that every Anosov diffeomorphism is topologically expansive in the sense of [9]. We also prove that Lipschitz shadowing forces the stable and unstable bundles to be uniform…

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…

Topological Expansivity and Shadowing for Anosov Diffeomorphisms

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

Rotation Sets and Topological Entropy for Random Circle Endomorphisms

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