Brick walls and trees with catastrophes

Ariane Carrance
Université de Vienne

Date(s) : 24/03/2026 iCal
14h00 - 15h00

In this talk, I will present
a new model of random trees that generalizes
Bienaymé-Galton-Watson (BGW) trees,
by allowing spatial correlations
between the deaths of individuals,
through « local catastrophes ».
In particular,
contrary to BGW trees,
this model no longer satisfies
the branching property,
which makes their study much more complicated.
However, we can show
that, under the condition
that the birth and death laws
have finite third moments,
a forest of such trees
has the same scaling limit
as a forest of critical BGW trees
with finite variance,
namely the Brownian forest.
This is based on a joint work
with Jérôme Casse and Nicolas Curien.