42 citations · 90 across the 29 of their papers we have counts for
4 papers · 1 filter
The inverse theorem for the Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches
Asgar Jamneshan, Terence Tao
We state and prove a quantitative inverse theorem for the Gowers uniformity norm on an arbitrary finite abelian group ; the cases when was of odd order or a vector…
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…
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…
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…