Sean Eberhard

activity

20122023

most citedCommuting probabilities of finite groups

34 citations · 245 across the 36 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.NT2020★ 18 cited

The characteristic polynomial of a random matrix

Sean Eberhard

Form an $n \times n$ matrix by drawing entries independently from ${\pm 1}$ (or another fixed nontrivial finitely supported distribution in $Z$ ) and let $ϕ$ be the charac…

math.GR2020★ 13 cited

Babai's conjecture for high-rank classical groups with random generators

Sean Eberhard, Urban Jezernik

Let $G = SCl_{n} (q)$ be a quasisimple classical group with $n$ large, and let $x_{1}, \dots, x_{k} \in G$ random, where $k \geq q^{C}$ . We show that the diameter of the resulting…

math.PR2020★ 16 cited

Mixing time of the Chung--Diaconis--Graham random process

Sean Eberhard, Péter P. Varjú

Define $(X_{n})$ on $Z / q Z$ by $X_{n + 1} = 2 X_{n} + b_{n}$ , where the steps $b_{n}$ are chosen independently at random from $- 1, 0, + 1$ . The mixing time of this random walk…

math.CO2020★ 11 cited

An asymptotic for the Hall--Paige conjecture

Sean Eberhard, Freddie Manners, Rudi Mrazović

Hall and Paige conjectured in 1955 that a finite group $G$ has a complete mapping if and only if its Sylow $2$ -subgroups are trivial or noncyclic. This conjecture was proved in 200…