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math.DS2026
Paterson compactifications, inverse limits and shadowing for Deaconu-Renault systems
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
We develop a new metric and inverse-limit framework for Deaconu-Renault systems arising from local homeomorphisms between open subsets of locally compact zero-dimensional spaces. O…
math.DS2024
Nonwandering sets and the entropy of local homeomorphisms
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
A local homeomorphism between open subsets of a locally compact Hausdorff space induces dynamical systems with a wide range of applications, including in C*-algebras. In this paper…