GT ADG-Systèmes Dynamiques

Emergence of random tree automorphisms

by Mr Bernhard Reinke (Insitut de maths de Jussieu)

Salle de séminaire (Institut Denis Poisson, Orléans)

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.