Yu-chen Sun

collaborators

2 papers

math.DS2026

Quantitative Convergence for Sparse Ergodic Averages in $L^{1}$

Ben Krause, Yu-Chen Sun

We provide a unified framework to proving pointwise convergence of sparse sequences, deterministic and random, at the $L^{1} (X)$ endpoint. Specifically, suppose that \[ a_n \in \{ \l…

math.NT2025

Local divisor correlations in almost all short intervals

Javier Pliego, Yu-Chen Sun, Mengdi Wang

Let $k, l \geq 2$ be natural numbers, and let $d_{k}, d_{l}$ denote the $k$ -fold and $l$ -fold divisor functions, respectively. We analyse the asymptotic behavior of the sum $\sum_{x<n\l…

Quantitative Convergence for Sparse Ergodic Averages in L1

Local divisor correlations in almost all short intervals

Quantitative Convergence for Sparse Ergodic Averages in $L^{1}$