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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.09472 |
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| _version_ | 1866909899564253184 |
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| author | Betz, Volker Schmidt, Tobias Sellke, Mark |
| author_facet | Betz, Volker Schmidt, Tobias Sellke, Mark |
| contents | We study Brownian motion perturbed by a long range self-interaction. We provide variance bounds in terms of the spatial interaction strength and the order of time decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sub-diffusive regimes for long range self-interacting path measures Betz, Volker Schmidt, Tobias Sellke, Mark Probability Mathematical Physics 60G17, 82D03, 81V73 We study Brownian motion perturbed by a long range self-interaction. We provide variance bounds in terms of the spatial interaction strength and the order of time decay. |
| title | Sub-diffusive regimes for long range self-interacting path measures |
| topic | Probability Mathematical Physics 60G17, 82D03, 81V73 |
| url | https://arxiv.org/abs/2511.09472 |