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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.14712 |
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| _version_ | 1866913618774196224 |
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| author | Chen, Jiaming |
| author_facet | Chen, Jiaming |
| contents | This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via separating techniques for entanglement of the random field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the localization regime of high-dimensional directed polymers in time-correlated random field Chen, Jiaming Probability This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via separating techniques for entanglement of the random field. |
| title | On the localization regime of high-dimensional directed polymers in time-correlated random field |
| topic | Probability |
| url | https://arxiv.org/abs/2412.14712 |