Ryan Alweiss

collaborators

2 papers

math.CO2025

$2$ -large sets are sets of Bohr recurrence

Ryan Alweiss

Let $I^\pm_{1}, \dots, I^\pm_{d}$ be real numbers, and let $S$ be the set of integers $s$ so that $∣∣ I^\pm_{i} s ∣ ∣_{R / Z} > I^´$ for some $i$ and some fixed $I^´ > 0$ . We prove $S$ is…

math.DS2025

New Obstacles to Multiple Recurrence

Ryan Alweiss

We show that there is a set which is not a set of multiple recurrence despite being a set of recurrence for nil-Bohr sets. This answers Huang, Shao, and Ye's \enquote{higher-order}…

2-large sets are sets of Bohr recurrence

New Obstacles to Multiple Recurrence

$2$ -large sets are sets of Bohr recurrence