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arXiv · 2501.00445

On a pinning model in correlated Gaussian random environments

Zi'an Li·Jian Song·Ran Wei·Hang Zhang
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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.

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Zi'an Li, Jian Song, Ran Wei, Hang Zhang. 2024-12-31. On a pinning model in correlated Gaussian random environments. https://arxiv.org/abs/2501.00445

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