T. Tao

12 citations · 19 across the 6 of their papers we have counts for

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math.DS2023

The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the $U^{k}$ Gowers uniformity norms on finite abelian groups of bounded torsion

Asgar Jamneshan, Or Shalom, Terence Tao

Let $Γ$ be a countable abelian group, let $k \geq 1$ , and let $X = (X, X, μ, T)$ be an ergodic $Γ$ -system of order $k$ in the sense of Host--Kra--Ziegler. The $Γ$ -syst…

math.DS2023

A Host--Kra $F_{2}^{ω}$ -system of order $5$ that is not Abramov of order $5$ , and non-measurability of the inverse theorem for the $U^{6} (F_{2}^{n})$ norm

Asgar Jamneshan, Or Shalom, Terence Tao

It was conjectured by Bergelson, Tao, and Ziegler \cite{btz} that every Host--Kra $\F_p^ω$-system of order $k$ is an Abramov system of order $k$ . This conjecture has been verified…

The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the Uk Gowers uniformity norms on finite abelian groups of bounded torsion

A Host--Kra F2ω​-system of order 5 that is not Abramov of order 5, and non-measurability of the inverse theorem for the U6(F2n​) norm

The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the $U^{k}$ Gowers uniformity norms on finite abelian groups of bounded torsion

A Host--Kra $F_{2}^{ω}$ -system of order $5$ that is not Abramov of order $5$ , and non-measurability of the inverse theorem for the $U^{6} (F_{2}^{n})$ norm