Abstract:
We consider the pinning model in correlated Gaussian random environment. For the model that is disorder relevant, we study its intermediate disorder regime and show that the rescaled partition functions converge to a non-trivial continuum limit in the Skorohod setting and in the Stratonovich setting, respectively. Our results partially conform the Weinrib-Halperin prediction for disorder relevance/irrelevance.
Biography:
Jian Song is a Visiting Professor of Mathematics at NYU Shanghai and a Professor of Mathematics at Shandong University. He obtained his PhD degree from Kansas University in 2010, worked at Rutgers University as a triennial assistant professor from 2010 to 2012 and at University of Hong Kong as a tenure-track assistant professor from 2013 to 2018, and has been working at Shandong University as a professor since 2018. Prof. Song's research interests include stochastic partial differential equations, statistical mechanical models, random matrices, stochastic controls, etc.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.