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math.GR2023
The algebraic entropy of one-dimensional finitary linear cellular automata
Hasan Akın, Dikran Dikranjan, Anna Giordano Bruno +1
The aim of this paper is to present one-dimensional finitary linear cellular automata on from an algebraic point of view. Among various other results, we: (i) sho…
math.RT2023
Ore localization of amenable monoid actions and applications towards entropy addition formulas and the bridge theorem
Dikran Dikranjan, Anna Giordano Bruno, Simone Virili
For a left action of a cancellative right amenable monoid on a discrete Abelian group , we construct its Ore localization $G\overset{λ^*}{\cu…