On the re-rooting invariance property of Levy trees

TL;DR

This paper proves a strong re-rooting invariance property of Levy trees, extending previous results and deepening understanding of their distributional symmetries.

Contribution

It establishes a stronger form of re-rooting invariance for Levy trees, advancing theoretical knowledge of their structural properties.

Findings

Levy trees exhibit a strong re-rooting invariance property.

The invariance extends previous partial results.

The work deepens the understanding of Levy trees' distributional symmetries.

Abstract

We prove a strong form of the invariance under re-rooting of the distribution of the continuous random trees called Levy trees. This extends previous results due to several authors.