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math.DS2024★ 4 cited
Recurrence in collective dynamics: From the hyperspace to fuzzy dynamical systems
Illych Alvarez, Antoni López-Martínez, Alfred Peris
We study for a dynamical system some of the principal topological recurrence-kind properties with respect to the induced maps $\overline{f}:\mathcal{K}(X)\lo…
math.FA2024★ 3 cited
Shifts on trees versus classical shifts in chain recurrence
Antoni López-Martínez, Dimitris Papathanasiou
We construct continuous (and even invertible) linear operators acting on Banach (even Hilbert) spaces whose restrictions to their respective closed linear subspaces of chain recurr…