3 citations · 4 across the 3 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2010★ 1 cited
Abundant configurations in sumsets with one dense summand
John T. Griesmer
We analyze sumsets A+B = {a+b : a in A, b in B} where A,B are sets of integers, A is infinite, and B has positive upper Banach density. For each k, we show that A+B contains at lea…
math.DS2008
Cubic ergodic averages for actions of amenable groups
John T. Griesmer
We unify and extend some previous results about cubic ergodic averages and sets of positive density in products of groups. This provides a joint generalization of earlier work of t…
math.DS2008★ 3 cited
Multiparameter ergodic averages for two commuting actions of an amenable group
John T. Griesmer
We find limits of some multiple ergodic averages, generalizing a result of Bergelson to the setting of two commuting transformations and actions of amenable groups.