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math.DS2025
Orbit sets, transitivity, and sensitivity with upper semicontinuous maps
Jeison Amorocho, Javier Camargo, Sergio Macías
Given a compact metric space and an upper semicontinuous function , we explore the dynamic system . In this study, we introduce new concepts, demonstr…
math.DS2020
Expansivity and unique shadowing
Chris Good, Sergio Macías, Jonathan Meddaugh +2
Let be a continuous function on a compact metric space. We show that shadowing is equivalent to backwards shadowing and two-sided shadowing when the map is ont…