Abstract:
The Brownian web is the collection of one-dimensional coalescing Brownian motions starting from every point in space and time, while the Brownian net is an extension that also allows branching. We show that the Brownian net is the universal scaling limit of one-dimensional branching-coalescing random walks with weak binary branching and arbitrary increment distributions that have finite (3+ε)-th moment. This gives the first sample in the domain of attraction of the Brownian net where paths can cross without coalescing. Joint work with Rongfeng Sun and Jan Swart.
Biography:
Jinjiong Yu is an assistant professor at East China Normal University. Before joining ECNU, he was a postdoc at NYU Shanghai from 2017 to 2020. He obtained his Ph.D. degree from National University of Singapore, and B.S. degree from Peking University. His research interests lie in the area of interacting particle systems and statistical mechanical models.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.