2 papers
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.DS2019
Ultragraph shift spaces and chaos
Daniel Gonçalves, Bruno Brogni Uggioni
Motivated by C*-algebra theory, ultragraph edge shift spaces generalize shifts of finite type to the infinite alphabet case. In this paper we study several notions of chaos for ult…