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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/2502.03889 |
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| _version_ | 1866916695423057920 |
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| author | Taźbierski, Kacper Magdziarz, Marcin |
| author_facet | Taźbierski, Kacper Magdziarz, Marcin |
| contents | We analyze the equivalents of the celebrated arcsine laws for Brownian motion undergoing Poissonian resetting. We obtain closed-form formulae for the probability density functions of the corresponding random variables in the cases of the first and second arcsine law. Furthermore, we obtain numerical results for the third law. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arcsine laws for Brownian motion with Poissonian resetting Taźbierski, Kacper Magdziarz, Marcin Probability Mathematical Physics 60J75 G.3 We analyze the equivalents of the celebrated arcsine laws for Brownian motion undergoing Poissonian resetting. We obtain closed-form formulae for the probability density functions of the corresponding random variables in the cases of the first and second arcsine law. Furthermore, we obtain numerical results for the third law. |
| title | Arcsine laws for Brownian motion with Poissonian resetting |
| topic | Probability Mathematical Physics 60J75 G.3 |
| url | https://arxiv.org/abs/2502.03889 |