Revisiting the temporal law in KPZ random growth
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915677202284544 |
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| author | Rahman, Mustazee |
| author_facet | Rahman, Mustazee |
| contents | This article studies the temporal law of the KPZ fixed point. For the stationary geometry, we find the two-time law, which extends the single time law due to Baik-Rains and Ferrari-Spohn. For the droplet geometry, we find a relatively simpler formula for the multi-time law compared to a previous formula of Johansson and the author. These formulas are derived as the scaling limit of corresponding multi-time formulas for geometric last passage percolation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting the temporal law in KPZ random growth Rahman, Mustazee Probability Mathematical Physics This article studies the temporal law of the KPZ fixed point. For the stationary geometry, we find the two-time law, which extends the single time law due to Baik-Rains and Ferrari-Spohn. For the droplet geometry, we find a relatively simpler formula for the multi-time law compared to a previous formula of Johansson and the author. These formulas are derived as the scaling limit of corresponding multi-time formulas for geometric last passage percolation. |
| title | Revisiting the temporal law in KPZ random growth |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2504.19975 |