32 citations · 208 across the 38 of their papers we have counts for
4 papers · 1 filter
Single and multiple recurrence along non-polynomial sequences
Vitaly Bergelson, Joel Moreira, Florian K. Richter
We establish new recurrence and multiple recurrence results for a rather large family of non-polynomial functions which includes tempered functions defined in [11], a…
A structure theorem for level sets of multiplicative functions and applications
Vitaly Bergelson, Joanna Kułaga-Przymus, Mariusz Lemańczyk +1
Given a level set of an arbitrary multiplicative function , we establish, by building on the fundamental work of Frantzikinakis and Host [13,14], a structure theorem which g…
Disjointness for measurably distal group actions and applications
Joel Moreira, Florian K. Richter, Donald Robertson
We generalize Berg's notion of quasi-disjointness to actions of countable groups and prove that every measurably distal system is quasi-disjoint from every measure preserving syste…
A generalization of Kátai's orthogonality criterion with applications
V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk +1
We study properties of arithmetic sets coming from multiplicative number theory and obtain applications in the theory of uniform distribution and ergodic theory. Our main theorem i…