19 citations · 35 across the 4 of their papers we have counts for
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math.CO2015★ 1 cited
Approximate polynomial structure in additively large sets
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
We show that any subset of the natural numbers with positive logarithmic Banach density contains a set that is within a factor of two of a geometric progression, improving the boun…
math.CO2015
High density piecewise syndeticity of product sets in amenable groups
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
M. Beiglböck, V. Bergelson, and A. Fish proved that if is a countable amenable group and and are subsets of with positive Banach density, then the product set …
math.LO2015
A monad measure space for logarithmic density
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
We provide a framework for proofs of structural theorems about sets with positive Banach logarithmic density. For example, we prove that if has positive Ban…