8 citations · 19 across the 14 of their papers we have counts for
4 papers · 1 filter
On the maximal spectral type of nilsystems
Ethan Ackelsberg, Florian K. Richter, Or Shalom
Let be an ergodic -step nilsystem for . We adapt an argument of Parry to show that decomposes as a sum of a subspace with discrete spectrum and a…
Khintchine-type double recurrence in abelian groups
Ethan Ackelsberg
We prove a Khintchine-type recurrence theorem for pairs of endomorphisms of a countable discrete abelian group. As a special case of the main result, if is a countable discrete…
Polynomial patterns in subsets of large finite fields of low characteristic
Ethan Ackelsberg, Vitaly Bergelson
We prove a low characteristic counterpart to the main result in (Peluse, 2019), establishing power saving bounds for the polynomial Szemerédi theorem for certain families of polyno…
Furstenberg--Sárközy theorem and partition regularity of polynomial equations over finite fields
Ethan Ackelsberg, Vitaly Bergelson
We prove new combinatorial results about polynomial configurations in large subsets of finite fields. Bergelson--Leibman--McCutcheon (2005) showed that for any polynomial $P(x) \in…