M. Xu

activity

20202026

most citedPartial sums of typical multiplicative functions over short moving intervals

6 citations · 17 across the 15 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021

Discrepancy in modular arithmetic progressions

Jacob Fox, Max Wenqiang Xu, Yunkun Zhou

Celebrated theorems of Roth and of Matoušek and Spencer together show that the discrepancy of arithmetic progressions in the first $n$ positive integers is $Θ (n^{1/4})$ . We study t…

math.PR2021★ 4 cited

Mixing time of fractional random walk on finite fields

Jimmy He, Huy Tuan Pham, Max Wenqiang Xu

We study a random walk on $F_{p}$ defined by $X_{n + 1} = 1/ X_{n} + ε_{n + 1}$ if $X_{n} \neq = 0$ , and $X_{n + 1} = ε_{n + 1}$ if $X_{n} = 0$ , where $ε_{n + 1}$ are inde…

math.CO2021

Multicolor list Ramsey numbers grow exponentially

Jacob Fox, Xiaoyu He, Sammy Luo +1

The list Ramsey number $R_{ℓ} (H, k)$ , recently introduced by Alon, Bucić, Kalvari, Kuperwasser, and Szabó, is a list-coloring variant of the classical Ramsey number. They showed…