Abstract:
In this talk, we consider the random set covered by SRW loop soup of certain intensity. Depending on the value of the intensity, the model exhibits different behaviors. The subcritical phase is different from classical Bernoulli percolation due to the presence of long range correlations in the model. However, the supercritical case is quite similar to that of a Bernoulli percolation.
Biography:
Yinshan Chang obtained his Ph.D. at the University of Paris 11. After that, he worked as a post-doc in Max-Planck Institute in Leipzig in Germany. Currently, he work in Sichuan University in Chengdu as a research assistant. His main research interests focus on Markovian loop soups, random walks and percolation.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai