19 citations · 99 across the 14 of their papers we have counts for
4 papers · 1 filter
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-…
Two-sided shift spaces over infinite alphabets
Daniel Gonçalves, Marcelo Sobottka, Charles Starling
Ott, Tomforde, and Willis proposed a useful compactification for one-sided shifts over infinite alphabets. Building from their idea we develop a notion of two-sided shift spaces ov…
Inverse semigroups associated to subshifts
Charles Starling
The dynamics of a one-sided subshift can be modeled by a set of partially defined bijections. From this data we define an inverse semigroup …
Sliding block codes between shift spaces over infinite alphabets
Daniel Gonçalves, Marcelo Sobottka, Charles Starling
Recently Ott, Tomforde and Willis introduced a notion of one-sided shifts over infinite alphabets and proposed a definition for sliding block codes between such shift spaces. In th…