Probability & Statistics Seminar

On the pinning model in correlated Gaussian random environments

  • Speaker: Jian Song(Shandong University)

  • Time: Dec 27, 2024, 14:30-15:30

  • Location: Room M3009, College of Science Building

Abstract

We consider a pinning model in correlated Gaussian random environments. 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 confirm the prediction of Weinrib and Halperin \cite{WH83} for disorder relevance/irrelevance.

This is joint work with Zian Li, Ran Wei and Hang Zhang.