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math.DS2025
Generalized entropy of induced zero-entropy systems
Gabriel Lacerda
Given a compact metric space and a continuous map , the induced hyperspace map acts on the hyperspace of nonempty closed sets of $X…
math.DS2024
Mean dimension explosion of induced homeomorphisms
Gabriel Lacerda, Sergio Romaña
Given a compact metric space and a continuous map, the induced hyperspace map acts on the hyperspace of closed and nonempty subset…
math.DS2023
Typical conservative homeomorphisms have total metric mean dimension
Gabriel Lacerda, Sergio Romaña
Given a compact smooth boundaryless manifold with dimension greater than one endowed with a locally positive non-atomic measure , we prove that typical -preserving homeomorph…