14 citations · 30 across the 16 of their papers we have counts for
4 papers · 2 filters
Non-vanishing of multiple correlation sequences
Or Shalom
We resolve in the negative a conjecture of Frantzikinakis and Kuca concerning the vanishing of multiple correlation sequences in nilsystems. Specifically, we prove the existence of…
-polynomial recurrence and large intersections
Borys Holikov, Or Shalom
Let be a rationally independent sequence of integer valued nonlinear polynomials. We show that for all , every Folner sequence , and every $…
On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields
Or Shalom
Bergelson et al. observed that Furstenberg's proof of Szemeredi's theorem provides a positive lower bound on the density of arithmetic progressions in sets of positive density in t…
Polynomial towers and inverse Gowers theory for bounded-exponent groups
Asgar Jamneshan, Or Shalom, Terence Tao
In this paper we develop Host--Kra and inverse Gowers theory for abelian groups of bounded exponent. We show that the Host--Kra factors associated with act…