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math.NT2021
Bohr neighborhoods in generalized difference sets
John T. Griesmer
If is a set of integers having positive upper Banach density and are nonzero integers whose sum is zero, a theorem of Bergelson and Ruzsa says that the set $rA+sA+tA:=\…
math.DS2021
Special cases and equivalent forms of Katznelson's problem on recurrence
John T. Griesmer
We make three observations regarding a question popularized by Katznelson: is every subset of which is a set of Bohr recurrence is also a set of topological recurrence?…
math.DS2021★ 3 cited
Separating topological recurrence from measurable recurrence: exposition and extension of Kriz's example
John T. Griesmer
We prove that for every infinite set , there is a set which is a set of topological recurrence and not a set of measurable recurrence. This exten…