On a pinning model in correlated Gaussian random environments

2024/12/31 by Li, Zian, Song, Jian, Wei, Ran +1
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2501.00445

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 for disorder relevance/irrelevance.

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