PC Seminar: Components in meandric systems and the infinite noodle
- Date: –11:15
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 , Å64119
- Lecturer: Paul Thévenin, University of Vienna
- Organiser: Matematiska institutionen
- Contact person: Tiffany Lo
Paul Thévenin from University of Vienna holds this seminar with the title "Components in meandric systems and the infinite noodle". Welcome to attend and to participate!
A meandric system of size n is a topological configuration of non-crossing closed loops in the plane which cross the real line at exactly 2n points. We are interested in the number cc(Mn) of loops in a meandric system Mn of size n chosen uniformly at random. We prove that cc(Mn) grows linearly with n and is concentrated around its mean. The main idea is to show the convergence of Mn in a local sense, towards a discrete infinite object which we call the infinite noodle, first introduced by Curien, Kozma, Sidoravicius and Tournier.
If time permits, I will discuss some new interesting problems and results on meandric systems.
Joint work with Valentin Féray (IECL, France) )
This is a seminar in our seminar series on Probability and Combinatorics (PC).