The seminar is sponsored by NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai.
Abstract:
In a classical work from 1994, David Aldous shows that a uniformly chosen triangulation of the polygon converges in distribution to the so-called Brownian triangulation, both in the Hausdorff distance as well as with respect to the underlying dual tree. In this talk, I will discuss random recursive triangulations introduced by Curien and Le Gall in 2011 and their limiting objects. The study involves stochastic fixed-point equations for random trees and random continuous functions. We also investigate fractal properties of the limiting object, thereby determining its Minkowski and Hausdorff dimension. Finally, I present generalizations of the results to related structures. This is joint work with Nicolas Broutin.
Biography:
Henning Sulzbach is Post-Doc researcher at the McGill University in Montreal with Luc Devroye. He obtained his Ph.D. in Frankfurt under the supervision of Ralph Neininger in 2012. He is mainly interested in the stochastic analysis of algorithms and in the study of random trees and graphs.