19 citations · 96 across the 23 of their papers we have counts for
10 papers · 1 filter
Shadowing, Finite Order Shifts and Ultrametric Spaces
Udayan B. Darji, Daniel Gonçalves, Marcelo Sobottka
Inspired by a recent novel work of Good and Meddaugh, we establish fundamental connections between shadowing, finite order shifts, and ultrametric complete spaces. We develop a the…
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…
Bratteli-Vershik models for partial actions of
Thierry Giordano, Daniel Gonçalves, Charles Starling
Let and be open subsets of the Cantor set with finite disjoint complements, and let be a homeomorphism with dense orbits. Building from the ideas of Herman, Putn…
Ultragraphs and shifts spaces over infinite alphabets
Daniel Gonçalves, Danilo Royer
In this paper we further develop the theory of one sided shift spaces over infinite alphabets, characterizing one-step shifts as edge shifts of ultragraphs and partially answering…
Inverse semigroup shifts over countable alphabets
Daniel Gonçalves, Marcelo Sobottka, Charles Starling
In this work we characterize shift spaces over infinite countable alphabets that can be endowed with an inverse semigroup operation. We give sufficient conditions under which zero-…
A note on the definition of sliding block codes and the Curtis-Hedlund-Lyndon Theorem
Marcelo Sobottka, Daniel Gonçalves
In this note we propose an alternative definition for sliding block codes between shift spaces. This definition coincides with the usual definition in the case that the shift space…