On a pinning model in correlated Gaussian random environments
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 Weinrib–Halperin prediction for disorder relevance/irrelevance.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- Bernoulli
- Volume
- 32
- Issue
- 4
- Pages
- 2794–2825
- Publication date
- 31 July 2026
- Language
- EN