G. Lacerda

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math.DS2025

Mean dimension explosion of induced homeomorphisms

Gabriel Lacerda, Sergio RomaÃ±a

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.DS2025

Generalized entropy of induced zero-entropy systems

Gabriel Lacerda

Given a compact metric space $X$ and a continuous map $T : X \to X$ , the induced hyperspace map $T_{K}$ acts on the hyperspace $K (X)$ of nonempty closed sets of $X…