Periodic points classify a family of Markov shifts
نویسندگان
چکیده
منابع مشابه
A Family of Markov Shifts (almost) Classified by Periodic Points
Let G be a finite group, and let XG = {x = (x(s,t)) ∈ GZ 2 | x(s,t) = x(s,t−1) · x(s+1,t−1) for all (s, t) ∈ Z}. The compact zero–dimensional set XG carries a natural shift Z2–action σG and the pair ΣG = ( XG, σ G ) is a two–dimensional topological Markov shift. Using recent work by Crandall, Dilcher and Pomerance on the Fermat quotient, we show the following: if G is abelian, and the order of ...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2005
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.11.012