Anh N. Le

activity

20172026

most citedNilsequences and Multiple Correlations along Subsequences

14 citations · 18 across the 11 of their papers we have counts for

collaborators

13 papers

math.DS2026

Bohr sets in sumsets III: expanding difference sets and almost Bohr sets

Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1

Let $G$ be a discrete abelian group. Følner showed that if $A \subseteq G$ has positive upper Banach density, then $A - A$ contains an almost Bohr set -- a set of the form $B \setm…

math.DS2025

A structure theorem for polynomial return-time sets in minimal systems

Daniel Glasscock, Andreas Koutsogiannis, Anh N. Le +3

We investigate the structure of return-time sets determined by orbits along polynomial tuples in minimal topological dynamical systems. Building on the topological characteristic f…

math.DS2024

Interpolation sets for dynamical systems

Andreas Koutsogiannis, Anh N. Le, Joel Moreira +2

Originating in harmonic analysis, interpolation sets were first studied in dynamics by Glasner and Weiss in the 1980s. A set $S \subset N$ is an interpolation set for a cl…

math.DS2023

Averages of completely multiplicative functions over the Gaussian integers -- a dynamical approach

Sebastián Donoso, Anh N. Le, Joel Moreira +1

We prove a pointwise convergence result for additive ergodic averages associated with certain multiplicative actions of the Gaussian integers. We derive several applications in dyn…

math.CO2022

Bohr sets in sumsets II: countable abelian groups

John T. Griesmer, Anh N. Le, Thái Hoàng Lê

We prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting $G$ be a countable discrete abelian group and $ϕ_{1}, ϕ_{2}, ϕ_{3} : G \to G$ be…

math.DS2021

Sublacunary sets and interpolation sets for nilsequences

Anh N. Le

A set $E \subset N$ is an interpolation set for nilsequences if every bounded function on $E$ can be extended to a nilsequence on $N$ . Following a theorem of Strz…

math.DS2021

Additive averages of multiplicative correlation sequences and applications

Sebastián Donoso, Anh N. Le, Joel Moreira +1

We study sets of recurrence, in both measurable and topological settings, for actions of $(N, \times)$ and $(Q^{> 0}, \times)$ . In particular, we show that autocorre…

math.DS2020★ 2 cited

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Andreas Koutsogiannis, Anh N. Le, Joel Moreira +1

Let $T$ be a measure preserving $Z^{ℓ}$ -action on the probability space $(X, B, μ),$ $q_{1}, \dots, q_{m} : R \to R^{ℓ}$ vector polynomials, and $f_0,…

math.DS2020★ 2 cited

A decomposition of multicorrelation sequences for commuting transformations along primes

Anh N. Le, Joel Moreira, Florian K. Richter

We study multicorrelation sequences arising from systems with commuting transformations. Our main result is a refinement of a decomposition result of Frantzikinakis and it states t…

math.DS2019

Interpolation sets and nilsequences

Anh N. Le

To give positive answer to a question of Frantzikinakis, we study a class of subsets of $N$ , called interpolation sets, on which every bounded sequence can be extended to…

math.DS2019

Multidimensional configurations in the primes with shifted prime steps

Anh Le, Thái Hoàng Lê

Let $P$ denote the set of primes. For a fixed dimension $d$ , Cook-Magyar-Titichetrakun, Tao-Ziegler and Fox-Zhao independently proved that any subset of positive relative…

math.DS2018

Optimal lower bounds for multiple recurrence

Sebastián Donoso, Anh N. Le, Joel Moreira +1

Let $(X, B, μ, T)$ be an ergodic measure preserving system, $A \in B$ and $ε > 0$ . We study the largeness of sets of the form \begin{equation*} \begin{split} S = \l…

math.DS2017★ 14 cited

Nilsequences and Multiple Correlations along Subsequences

Anh Ngoc Le

The results of Bergelson-Host-Kra and Leibman say that a multiple polynomial correlation sequence can be decomposed into a sum of a nilsequence (a sequence defined by evaluating a…