32 citations · 67 across the 11 of their papers we have counts for
5 papers · 1 filter
Triangles in cartesian squares of quasirandom groups
Vitaly Bergelson, Donald Robertson, Pavel Zorin-Kranich
We prove that triangular configurations are plentiful in large subsets of cartesian squares of finite quasirandom groups from classes having the quasirandom ultraproduct property,…
Polynomial multiple recurrence over rings of integers
Vitaly Bergelson, Donald Robertson
We generalize the polynomial Szemerédi theorem to intersective polynomials over the ring of integers of an algebraic number field, by which we mean polynomials having a common root…
Polynomial recurrence with large intersection over countable fields
Vitaly Bergelson, Donald Robertson
We give a short proof of polynomial recurrence with large intersection for additive actions of finite-dimensional vector spaces over countable fields on probability spaces, improvi…
Finite Products Sets and Minimally Almost Periodic Groups
Vitaly Bergelson, Cory Christopherson, Donald Robertson +1
We construct, in locally compact, second countable, amenable groups, sets with large density that fail to have certain combinatorial properties. For the property of being a shift o…
Characteristic factors for commuting actions of amenable groups
Donald Robertson
We describe characteristic factors for certain averages arising from commuting actions of locally compact, second-countable, amenable groups. Under some ergodicity assumptions we u…