collaborators

13 papers

math.GR2026

Quantum uniformity norms are pullbacks of matrix-valued uniformity norms

Asgar Jamneshan

We show that the quantum uniformity norms recently introduced by Bu, Gu, and Jaffe are the pullbacks, under the Weyl orbit embedding, of the matrix-valued uniformity norms of Gower…

math.DS2026

Quantitative Polynomial Wiener-Wintner Theorems

Lars Becker, Asgar Jamneshan, Christoph Thiele

We prove quantitative polynomial Wiener--Wintner theorems in a very general setup, including measure-preserving actions of nilpotent Lie groups. Our results apply both to ergodic a…

math.DS2026

The non-ergodic Host-Kra-Ziegler structure theorem for -actions via measurable selections

Asgar Jamneshan, Simon Machado

We establish a non-ergodic version of the Host-Kra-Ziegler structure theorem for measure-preserving -actions. Our argument reduces the non-ergodic case to the ergodic…

math.DS2026

Local rigidity of self-joinings and factors of pro-nilsystems

Pauwel Van Den Eeckhaut, Asgar Jamneshan

It is an immediate consequence of the ergodic structure theorem of Host and Kra that every factor of an ergodic -step pro-nilsystem is again an ergodic -step pro-nilsystem. I…

math.DS2026

Equidistribution in 2-Nilpotent Polish Groups and triple restricted sumsets

Ethan Ackelsberg, Asgar Jamneshan

The aim of this paper is to establish a Ratner-type equidistribution theorem for orbits on homogeneous spaces associated with 2-nilpotent locally compact Polish groups under the ac…

math.DS2026

A Host--Kra -system of order that is not Abramov of order , and non-measurability of the inverse theorem for the 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 is an Abramov system of order . This conjecture has been verified…