A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909399796154368 |
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| author | Gao, Yifan Li, Xinyi Li, Yifan Liu, Runsheng Liu, Xiangyi |
| author_facet | Gao, Yifan Li, Xinyi Li, Yifan Liu, Runsheng Liu, Xiangyi |
| contents | We show that a domain in $\mathbb{R}^3$ with the trace of a 3D Brownian motion removed almost surely satisfies the boundary Harnack principle (BHP). Then, we use it to prove that the intersection exponents for 3D Brownian motion are analytic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents Gao, Yifan Li, Xinyi Li, Yifan Liu, Runsheng Liu, Xiangyi Probability 60J65 (Primary) 31B25, 31B05 (Secondary) We show that a domain in $\mathbb{R}^3$ with the trace of a 3D Brownian motion removed almost surely satisfies the boundary Harnack principle (BHP). Then, we use it to prove that the intersection exponents for 3D Brownian motion are analytic. |
| title | A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents |
| topic | Probability 60J65 (Primary) 31B25, 31B05 (Secondary) |
| url | https://arxiv.org/abs/2411.14921 |