Universal criterion for selective outcomes under stochastic resetting
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915661570113536 |
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| author | Pal, Suvam Dagdug, Leonardo Ghosh, Dibakar Boyer, Denis Pal, Arnab |
| author_facet | Pal, Suvam Dagdug, Leonardo Ghosh, Dibakar Boyer, Denis Pal, Arnab |
| contents | Resetting plays a pivotal role in optimizing the completion time of complex first passage processes with single or multiple outcomes/exit possibilities. While it is well established that the coefficient of variation -- a statistical dispersion defined as a ratio of the fluctuations over the mean of the first passage time -- must be larger than unity for resetting to be beneficial for any outcome averaged over all the possibilities, the same can not be said while conditioned on a particular outcome. The purpose of this letter is to derive a universal condition which reveals that two statistical metric -- the mean and coefficient of variation of the conditional times -- come together to determine when resetting can expedite the completion of a selective outcome, and furthermore can govern the biasing between preferential and non-preferential outcomes. The universality of this result is demonstrated for a one dimensional diffusion process subjected to resetting with two absorbing boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal criterion for selective outcomes under stochastic resetting Pal, Suvam Dagdug, Leonardo Ghosh, Dibakar Boyer, Denis Pal, Arnab Statistical Mechanics Soft Condensed Matter Probability Chemical Physics Resetting plays a pivotal role in optimizing the completion time of complex first passage processes with single or multiple outcomes/exit possibilities. While it is well established that the coefficient of variation -- a statistical dispersion defined as a ratio of the fluctuations over the mean of the first passage time -- must be larger than unity for resetting to be beneficial for any outcome averaged over all the possibilities, the same can not be said while conditioned on a particular outcome. The purpose of this letter is to derive a universal condition which reveals that two statistical metric -- the mean and coefficient of variation of the conditional times -- come together to determine when resetting can expedite the completion of a selective outcome, and furthermore can govern the biasing between preferential and non-preferential outcomes. The universality of this result is demonstrated for a one dimensional diffusion process subjected to resetting with two absorbing boundaries. |
| title | Universal criterion for selective outcomes under stochastic resetting |
| topic | Statistical Mechanics Soft Condensed Matter Probability Chemical Physics |
| url | https://arxiv.org/abs/2502.09127 |