On a pinning model in correlated Gaussian random environments
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866908834812919808 |
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| author | Li, Zi'an Song, Jian Wei, Ran Zhang, Hang |
| author_facet | Li, Zi'an Song, Jian Wei, Ran Zhang, Hang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00445 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a pinning model in correlated Gaussian random environments Li, Zi'an Song, Jian Wei, Ran Zhang, Hang Probability 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. |
| title | On a pinning model in correlated Gaussian random environments |
| topic | Probability |
| url | https://arxiv.org/abs/2501.00445 |