GT ADG-Systèmes DynamiquesEmergence of random tree automorphisms
Bernhard Reinke (Insitut de maths de Jussieu)
Friday 17 March 2023 14:00 - Institut Denis Poisson, Orléans - Salle de séminaire
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.