Asgar Jamneshan

activity

20132026

most citedThe algebra of conditional sets and the concepts of conditional topology and compactness

42 citations · 90 across the 29 of their papers we have counts for

collaborators

36 papers

math.GR2026

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…

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 $k$ -step pro-nilsystem is again an ergodic $k$ -step pro-nilsystem. I…

math.DS2026

The non-ergodic Host-Kra-Ziegler structure theorem for $Z^{d}$ -actions via measurable selections

Asgar Jamneshan, Simon Machado

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

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

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 $Z^{\leq k} (X)$ associated with act…

math.CA2025

Carleson operators on doubling metric measure spaces

Lars Becker, Floris van Doorn, Asgar Jamneshan +2

Doubling metric measure spaces provide a natural framework for singular integral operators. In contrast, the study of maximally modulated singular integral operators, the so-called…

math.DS2025

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.GR2024

Quadratic maps between non-abelian groups

Asgar Jamneshan, Andreas Thom

Gowers and Hatami initiated the inverse theory for the uniformity norms $U^{k}$ of matrix-valued functions on non-abelian groups by proving a $1%$ -inverse theorem for the $U^{2}$ -norm…

math.CA2024

A blueprint for the formalization of Carleson's theorem on convergence of Fourier series

Lars Becker, María Inés de Frutos-Fernández, Leo Diedering +14

This paper is the blueprint underlying the Lean formalization of the proof of Carleson's classical result asserting almost everywhere convergence of Fourier series of continuous fu…

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…

math.DS2023

A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions

Nikolai Edeko, Asgar Jamneshan, Henrik Kreidler

We show that a relatively ergodic extension of measure-preserving dynamical systems has relative discrete spectrum if and only if it can be represented as a skew-product by a bundl…

math.OA2022★ 1 cited

On compact extensions of tracial $W^{*}$ -dynamical systems

Asgar Jamneshan, Pieter Spaas

We establish several classification results for compact extensions of tracial $W^{*}$ -dynamical systems and for relatively independent joinings thereof for actions of arbitrary discr…

math.DS2022★ 1 cited

Uniform syndeticity in multiple recurrence

Asgar Jamneshan, Minghao Pan

The main theorem of this paper establishes a uniform syndeticity result concerning the multiple recurrence of measure-preserving actions on probability spaces. More precisely, for…

math.CO2021★ 1 cited

The inverse theorem for the $U^{3}$ 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 $U^{3} (G)$ on an arbitrary finite abelian group $G$ ; the cases when $G$ was of odd order or a vector…

math.DS2021

The structure of arbitrary Conze-Lesigne systems

Asgar Jamneshan, Or Shalom, Terence Tao

Let $Γ$ be a countable abelian group. An (abstract) $Γ$ -system $X$ - 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…

math.CA2020★ 1 cited

Decoupling for fractal subsets of the parabola

Alan Chang, Jaume de Dios Pont, Rachel Greenfeld +3

We consider decoupling for a fractal subset of the parabola. We reduce studying $l^{2} L^{p}$ decoupling for a fractal subset on the parabola ${(t, t^{2}) : 0 \leq t \leq 1}$ to stu…

math.FA2020★ 6 cited

Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration

Asgar Jamneshan, Terence Tao

We collect several foundational results regarding the interaction between locally compact spaces, probability spaces and probability algebras, and commutative $C^{*}$ -algebras and vo…

math.DS2020

An uncountable Mackey-Zimmer theorem

Asgar Jamneshan, Terence Tao

The Mackey-Zimmer theorem classifies ergodic group extensions $X$ of a measure-preserving system $Y$ by a compact group $K$ , by showing that such extensions are isomorphic to a gro…

math.OC2020

Wasserstein Distance to Independence Models

Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar +2

An independence model for discrete random variables is a Segre-Veronese variety in a probability simplex. Any metric on the set of joint states of the random variables induces a Wa…

math.DS2019

An uncountable Moore-Schmidt theorem

Asgar Jamneshan, Terence Tao

We prove an extension of the Moore-Schmidt theorem on the triviality of the first cohomology class of cocycles for the action of an arbitrary discrete group on an arbitrary measure…

math.OC2019

Optimal Transport to a Variety

T. Ö. Çelik, A. Jamneshan, G. Montúfar +2

We study the problem of minimizing the Wasserstein distance between a probability distribution and an algebraic variety. We consider the setting of finite state spaces and describe…

Quantum uniformity norms are pullbacks of matrix-valued uniformity norms

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

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

Quantitative Polynomial Wiener-Wintner Theorems

Polynomial towers and inverse Gowers theory for bounded-exponent groups

Carleson operators on doubling metric measure spaces

Equidistribution in 2-Nilpotent Polish Groups and triple restricted sumsets

Quadratic maps between non-abelian groups

A blueprint for the formalization of Carleson's theorem on convergence of Fourier series

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

A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions

On compact extensions of tracial W∗-dynamical systems

Uniform syndeticity in multiple recurrence

The inverse theorem for the U3 Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches

The structure of arbitrary Conze-Lesigne systems

An uncountable Furstenberg--Zimmer structure theory

An uncountable ergodic Roth theorem and applications

Decoupling for fractal subsets of the parabola

Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration

An uncountable Mackey-Zimmer theorem

Wasserstein Distance to Independence Models

An uncountable Moore-Schmidt theorem

Optimal Transport to a Variety

The non-ergodic Host-Kra-Ziegler structure theorem for $Z^{d}$ -actions via measurable selections

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

On compact extensions of tracial $W^{*}$ -dynamical systems

The inverse theorem for the $U^{3}$ Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches