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GT ADG-Systèmes Dynamiques
# Emergence of random tree automorphisms

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Europe/Paris

Salle de séminaire (Institut Denis Poisson, Orléans)
### Salle de séminaire

#### Institut Denis Poisson, Orléans

Description

Emergence is way to describe the richness of possible statistical

behaviors of orbits of a dynamical system. While it is known that high emergence is locally C^r generic for surface diffeomorphisms, it is less clear for "random" systems.

We construct examples of conjugacy classes of rooted tree automorphisms such that the action of a random element of the conjugacy class on the ends of the tree has high emergence almost surely.