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math.DS2022
Möbius random law and infinite rank-one maps
e. H. el Abdalaoui, Cesar E. Silva
We prove that Sarnak's conjecture holds for any infinite measure symbolic rank-one map. We further extended Bourgain-Sarnak's result, which says that the Möbius function is a good…
math.DS2020★ 2 cited
On finite spacer rank for words and subshifts
Su Gao, Liza Jacoby, William Johnson +4
We define a notion of rank for words and subshifts that we call spacer rank, extending the notion of rank-one symbolic shifts of Gao and Hill. We construct infinite words of each f…