19 citations · 95 across the 17 of their papers we have counts for
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math.DS2020★ 4 cited
Some notes on the classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts
Marcelo Sobottka
The aim of this article is to find appropriate definitions for shifts of finite type and sofic shifts in a general context of symbolic dynamics. We start showing that the classical…
math.DS2020
Blur shift spaces
Tadeu Zavistanovicz Almeida, Marcelo Sobottka
In this work we propose a new type of shift spaces, called blur shift spaces, where one can represent with a single symbol an entire set of infinite symbols. Such shift spaces are…
math.DS2020
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…