3 papers
math.DS2025
Complexity of measure-induced maps
Gabriel Lacerda
A classical result by Glasner and Weiss states that a map has zero topological entropy if and only if its measure-induced map , defined as the push-forward of a measure, d…
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…