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math.DS2026
At most exponential growth of periodic orbits for star flows
C. A. Morales, E. Rego, X. Wen
We prove that on any closed manifold there exists a C1 open and dense subset of star flows for which the periodic orbits grow at most expo- nentially. We also explain how our metho…
math.DS2025
Rescaled topological entropy
E. Rego, C. Rojas, X. Wen
We prove that to any smooth vector field of a closed manifold it can be assigned a nonnegative number called {\em rescaled topological entropy} satisfying the following properties:…