S. Johnston

activity

20172026

most citedThe genealogy of Galton-Watson trees

17 citations · 28 across the 19 of their papers we have counts for

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Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023

A fast Berry-Esseen theorem under minimal density assumptions

Samuel G. G. Johnston

Let $X_{1}, \dots, X_{N}$ be i.i.d.\ random variables distributed like $X$ . Suppose that the first $k \geq 3$ moments ${E [X^{j}] : j = 1, \dots, k}$ of $X$ agree with that of t…

math.PR2023

Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees

Simon C. Harris, Samuel G. G. Johnston, Juan Carlos Pardo

Consider a population evolving as a critical continuous-time Galton-Watson (GW) tree. Conditional on the population surviving until a large time $T$ , sample $k$ individuals uniform…