Thursday, December 10, 2026 - 16:00 in V2-210/216
An introduction to self-similar Markov trees
A talk in the Mathematisches Kolloquium series by
Jean Bertoin from Universität Zürich
| Abstract: |
The purpose of the talk is to give a gentle and informal introduction to a recent monograph, written jointly with Nicolas Curien and Armand Riera, on self-similar Markov trees. These form a remarkable family of random compact real trees, each equipped with a decoration function and a natural finite measure. As the name suggests, they are self-similar objects that also satisfy a Markov branching property.
Self-similar Markov trees encompass many random real trees studied over the last decades, including the Brownian CRT, stable Lévy trees, fragmentation trees, and growth-fragmentation trees. They arise as scaling limits of a wide variety of random discrete geometric structures, which can often be described in terms of Galton–Watson processes with integer types.
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