Stochastic restarting with multiple restart conditions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914038211936256 |
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| author | Aspman, Johannes Mastropietro, Daniel Marecek, Jakub |
| author_facet | Aspman, Johannes Mastropietro, Daniel Marecek, Jakub |
| contents | We consider the mean first passage time (MFPT) for a diffusive particle in a potential landscape with the extra condition that the particle is reset to its original position with some rate r. We study non-smooth and non-convex potentials and focus on the case where the restart rate depends on the space coordinate. There, we show that it is beneficial to restart at a lower rate once you are closer to your intended target. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11809 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic restarting with multiple restart conditions Aspman, Johannes Mastropietro, Daniel Marecek, Jakub Statistical Mechanics Probability We consider the mean first passage time (MFPT) for a diffusive particle in a potential landscape with the extra condition that the particle is reset to its original position with some rate r. We study non-smooth and non-convex potentials and focus on the case where the restart rate depends on the space coordinate. There, we show that it is beneficial to restart at a lower rate once you are closer to your intended target. |
| title | Stochastic restarting with multiple restart conditions |
| topic | Statistical Mechanics Probability |
| url | https://arxiv.org/abs/2509.11809 |