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math.DS2020
An uncountable Mackey-Zimmer theorem
Asgar Jamneshan, Terence Tao
The Mackey-Zimmer theorem classifies ergodic group extensions of a measure-preserving system by a compact group , by showing that such extensions are isomorphic to a gro…
math.DS2020
Pointwise ergodic theorems for non-conventional bilinear polynomial averages
Ben Krause, Mariusz Mirek, Terence Tao
We establish convergence in norm and pointwise almost everywhere for the non-conventional (in the sense of Furstenberg) bilinear polynomial ergodic averages \[ A_N(f,g)(x) := \frac…