3 papers
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.FA2026
Topological shadowing for linear operators
Y. Yang, C. A. Morales
We prove a linear operator of a finite-dimensional Banach space has the topological shadowing property, as introduced in \cite{lny}, if and only if its spectrum lies either within…
math.DS2025
Expansiveness for flows on noncompact spaces
Y. Yang, C. A. Morales
We introduce the concept of topological expansive flow. We prove that this concept is invariant by topological conjugacy and reduces to expansivity in the compact case. We characte…