7 citations · 12 across the 12 of their papers we have counts for
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math.DS2008★ 1 cited
Powers of sequences and convergence of ergodic averages
Nikos Frantzikinakis, Michael Johnson, Emmanuel Lesigne +1
A sequence of integers is good for the mean ergodic theorem if for each invertible measure preserving system and any bounded measurable function ,…
math.DS2008★ 2 cited
A Hardy field extension of Szemeredi's Theorem
Nikos Frantzikinakis, Mate Wierdl
In 1975 Szemerédi proved that a set of integers of positive upper density contains arbitrarily long arithmetic progressions. Bergelson and Leibman showed in 1996 that the common di…