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math.DS2026
Mean dimension of general iterated function systems
Welington Cordeiro, Maria José Pacifico, Xuan Zhang
In this paper, we introduce and investigate the notions of Mean Dimension and Metric Mean Dimension for generalized iterated function systems (IFS). We establish basic properties o…
math.DS2025
L-shadowing for the induced hyperspace homeomorphism
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro
We prove that a homeomorphism f of a compact metric space X satisfies the L-shadowing property if and only if its induced hyperspace homeomorphism also satisfies the L-shadowing pr…
math.DS2024
Gluing-orbit property, local stable/unstable sets, and induced dynamics on hyperspace
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro +1
We prove that local stable/unstable sets of homeomorphisms of an infinite compact metric space satisfying the gluing-orbit property always contain compact and perfect subsets of th…