Th'ai Hoang Le

collaborators

3 papers

math.DS2026

Bourgain's $L^{2}$ pointwise ergodic theorem over function fields

Thái Hoàng Lê, Andrew Lott

We prove a function-field analogue of Bourgain's $L^{2}$ pointwise ergodic theorem. Let $q$ be a power of a prime $p$ , let $F_{q} [t]$ be the ring of polynomials over the finit…

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.NT2024

Intersective sets for sparse sets of integers

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

For $E \subset N$ , a subset $R \subset N$ is $E$ -intersective if for every $A \subset E$ having positive upper relative density, we have $R \cap (A - A) \neq \var…

Bourgain's L2 pointwise ergodic theorem over function fields

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

Intersective sets for sparse sets of integers

Bourgain's $L^{2}$ pointwise ergodic theorem over function fields