32 citations · 208 across the 38 of their papers we have counts for
4 papers · 1 filter
Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics
Vitaly Bergelson, Joanna Kułaga-Przymus, Mariusz Lemańczyk +1
A set is called rational if it is well-approximable by finite unions of arithmetic progressions. Examples of rational sets include many classical sets of numb…
On the density of coprime tuples of the form , where are functions from a Hardy field
Vitaly Bergelson, Florian Karl Richter
Let and let belong to a Hardy field. We prove that under some natural conditions on the -tuple the density of the set $$ \bi…
A spectral refinement of the Bergelson-Host-Kra decomposition and new multiple ergodic theorems
Joel Moreira, Florian K. Richter
We investigate how spectral properties of a measure preserving system are reflected in the multiple ergodic averages arising from that system. For certain seq…
Revisiting the nilpotent polynomial Hales-Jewett theorem
John H. Johnson, Florian Karl Richter
Answering a question posed by Bergelson and Leibman in [6], we establish a nilpotent version of the polynomial Hales-Jewett theorem that contains the main theorem in [6] as a speci…