S. Johnston

activity

20172026

most citedThe genealogy of Galton-Watson trees

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

collaborators

Showing 2021Show all

5 papers · 1 filter

math.AG2021

A degree bound for strongly nilpotent polynomial automorphisms

Samuel G. G. Johnston

Let $k$ be a field of characteristic zero. Let $F = X + H$ be a polynomial mapping from $k^{n} \to k^{n}$ , where $X$ is the identity mapping and $H$ has only degree two terms and highe…

math.PR2021

Thin-shell theory for rotationally invariant random simplices

Johannes Heiny, Samuel Johnston, Joscha Prochno

For fixed functions $G, H : [0, \infty) \to [0, \infty)$ , consider the rotationally invariant probability density on $R^{n}$ of the form \[ μ^n(ds) = \frac{1}{Z_n} G(\|s\|_2)\, e^{…

math.PR2021

Projections of the uniform distribution on the cube -- a large deviation perspective

Samuel G. G. Johnston, Zakhar Kabluchko, Joscha Prochno

Let $Θ^{(n)}$ be a random vector uniformly distributed on the unit sphere $S^{n - 1}$ in $R^{n}$ . Consider the projection of the uniform distribution on the cube $[-1,1…

math.PR2021

Multitype $Λ$ -coalescents

Samuel G. G. Johnston, Andreas E. Kyprianou, Tim Rogers

Consider a multitype coalescent process in which each block has a colour in ${1, \dots, d}$ . Individual blocks may change colour, and some number of blocks of various colours may…

math.PR2021

Sharp concentration for the largest and smallest fragment in a $k$ -regular self-similar fragmentation

Piotr Dyszewski, Nina Gantert, Samuel G. G. Johnston +2

We study the asymptotics of the $k$ -regular self-similar fragmentation process. For $α > 0$ and an integer $k \geq 2$ , this is the Markov process $(I_{t})_{t \geq 0}$ in which each $I…

A degree bound for strongly nilpotent polynomial automorphisms

Thin-shell theory for rotationally invariant random simplices

Projections of the uniform distribution on the cube -- a large deviation perspective

Multitype Λ-coalescents

Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation

Multitype $Λ$ -coalescents

Sharp concentration for the largest and smallest fragment in a $k$ -regular self-similar fragmentation