GT ADG-Systèmes Dynamiques

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

Résumé :

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. 
 

Liens :

• Indico