42 citations · 90 across the 29 of their papers we have counts for
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math.DS2021
The structure of arbitrary Conze-Lesigne systems
Asgar Jamneshan, Or Shalom, Terence Tao
Let be a countable abelian group. An (abstract) -system - that is, an (abstract) probability space equipped with an (abstract) probability-preserving action of…
math.DS2021★ 11 cited
An uncountable Furstenberg--Zimmer structure theory
Asgar Jamneshan
Furstenberg--Zimmer structure theory refers to the extension of the dichotomy between the compact and weakly mixing parts of a measure preserving dynamical system and the algebraic…
math.DS2021
An uncountable ergodic Roth theorem and applications
Polona Durcik, Rachel Greenfeld, Annina Iseli +2
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and the space need not be separable. This generalizes a previous…