42 citations · 90 across the 29 of their papers we have counts for
5 papers · 1 filter
Quantum uniformity norms are pullbacks of matrix-valued uniformity norms
Asgar Jamneshan, Berke Ünal
We show that the quantum uniformity norms introduced by Bu, Gu, and Jaffe are the pullbacks of the matrix-valued uniformity norms of Gowers and Hatami under the map $S\mapsto(a\map…
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…
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…
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…
Polynomial towers and inverse Gowers theory for bounded-exponent groups
Asgar Jamneshan, Or Shalom, Terence Tao
In this paper we develop Host--Kra and inverse Gowers theory for abelian groups of bounded exponent. We show that the Host--Kra factors associated with act…