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math.DS2015
A good universal weight for multiple recurrence averages with commuting transformations in norm
Idris Assani, Ryo Moore
We will show that the sequences appearing in Bourgain's double recurrence result are good universal weights to the multiple recurrence averages with commuting measure-preserving tr…
math.DS2015★ 7 cited
A good universal weight for nonconventional ergodic averages in norm
Idris Assani, Ryo Moore
We will show that the sequence appearing in the double recurrence theorem is a good universal weight for the Furstenberg averages. That is, given a system …