40 citations · 489 across the 52 of their papers we have counts for
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math.DS2012★ 4 cited
Cube spaces and the multiple term return times theorem
Pavel Zorin-Kranich
We give a new proof of Rudolph's multiple term return times theorem based on Host-Kra structure theory. Our approach provides characteristic factors for all terms, works for arbitr…
math.DS2012★ 17 cited
Uniformity in the Wiener-Wintner theorem for nilsequences
Tanja Eisner, Pavel Zorin-Kranich
We prove a uniform extension of the Wiener-Wintner theorem for nilsequences due to Host and Kra and a nilsequence extension of the topological Wiener-Wintner theorem due to Assani.…
math.DS2012★ 11 cited
A nilpotent IP polynomial multiple recurrence theorem
Pavel Zorin-Kranich
We generalize the IP-polynomial Szemerédi theorem due to Bergelson and McCutcheon and the nilpotent Szemerédi theorem due to Leibman. Important tools in our proof include a general…