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math.DS2013
Plünnecke inequalities for countable abelian groups
Michael Björklund, Alexander Fish
We establish in this paper a new form of Plünnecke-type inequalities for ergodic probability measure-preserving actions of any countable abelian group. Using a correspondence princ…
math.DS2013
Product set phenomena for countable groups
MIchael Björklund, Alexander Fish
We develop in this paper general techniques to analyze local combinatorial structures in product sets of two subsets of a countable group which are "large" with respect to certain…