On the pinning model in correlated Gaussian random environments

发布时间:2026-01-17 15:48 阅读:
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We consider a pinning model in correlated Gaussian random environments. For the model that is disorder relevant and bounded in L2, 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. In particular, our results partially confirm the Weinrib--Halperin prediction for disorder relevance/irrelevance.


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