Samuel G. G. Johnston

collaborators

2 papers

math.PR2026

The largest fragment in self-similar fragmentation processes of positive index

Piotr Dyszewski, Samuel G. G. Johnston, Sandra Palau +1

We study a self-similar fragmentation process with dislocation measure $I^½$ and self-similarity index $I^\pm > 0$ . Let $e^{- m_{t}}$ denote the size of the largest fragment at time $t \ge…

math.PR2024

The macroscopic shape of Gelfand-Tsetlin patterns and free probability

Samuel G. G. Johnston, Joscha Prochno

A compression is a function $F : R \times [0, 1] \to [0, 1]$ such that each $F (\cdot, I ¨ )$ is the distribution function of a measure of mass $I ¨ $ , while each $F (x, \cdot)$ is increa…