Emergence of random tree automorphisms

par M. Bernhard Reinke (Insitut de maths de Jussieu)

vendredi 17 mars 2023, 14:00 → 15:00 Europe/Paris

Salle de séminaire (Institut Denis Poisson, Orléans)

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.