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math.DS2023
Shadowing for local homeomorphisms, with applications to edge shift spaces of infinite graphs
Daniel Gonçalves, Bruno Brogni Uggioni
In this paper, we develop the basic theory of the shadowing property for local homeomorphisms of metric locally compact spaces, with a focus on applications to edge shift spaces co…
math.DS2023
Entropy of local homeomorphisms with applications to infinite alphabet shift spaces
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
In this paper, we introduce topological entropy for dynamical systems generated by a single local homeomorphism (Deaconu-Renault systems). More precisely, we generalize Adler, Konh…