New insights into the distribution of the topmost gap in random walks and Lévy flights
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908515915792384 |
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| author | Godrèche, Claude Luck, Jean-Marc |
| author_facet | Godrèche, Claude Luck, Jean-Marc |
| contents | Building upon the knowledge of the distribution of the first positive position reached by a random walker starting from the origin, one can derive new results on the statistics of the gap between the largest and second-largest positions of the walk, and recover known ones in a more direct manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New insights into the distribution of the topmost gap in random walks and Lévy flights Godrèche, Claude Luck, Jean-Marc Statistical Mechanics Probability Building upon the knowledge of the distribution of the first positive position reached by a random walker starting from the origin, one can derive new results on the statistics of the gap between the largest and second-largest positions of the walk, and recover known ones in a more direct manner. |
| title | New insights into the distribution of the topmost gap in random walks and Lévy flights |
| topic | Statistical Mechanics Probability |
| url | https://arxiv.org/abs/2502.18391 |