We first give an overview of the multiple relations between Poissonian Markov loop ensembles and other stochastic processes such as free fields, determinantal fields and gauge fields, mostly in the discrete setting. We will also present some new results about their topology.
Yves Le Jan is Visiting Professor of Mathematics at NYU Shanghai. He has been working mostly on various aspect of stochastic processes. He is particularly interested in their relations to Mathematical Physics. He was for eight years an associate editor of the Annals of Probability, edited by the IMS. He was invited to give a lecture at the International Congress of Mathematicians in 2006 and to give the plenary Doob lecture at the World Congress of Probability and Statistics in 2012.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai