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math.CO2012★ 3 cited
Nonstandard Analysis and the sumset phenomenon in arbitrary amenable groups
Mauro Di Nasso, Martino Lupini
Beiglboeck, Bergelson and Fish proved that if subsets A,B of a countable discrete amenable group G have positive Banach densities a and b respectively, then the product set AB is p…
math.LO2012★ 5 cited
Embeddability Properties of Difference Sets
Mauro Di Nasso
By using nonstandard analysis, we prove embeddability properties of difference sets of sets of integers. (A set is "embeddable" into if every finite configuration of…