Comment on the paper 'Exact decay of the persistence probability in the Airy$_1$ process' by Ferrari and Liu
| Autor: | Prolhac, Sylvain |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We point out that the non-trivial function obtained by Ferrari and Liu for the persistence probability of the Airy$_1$ process has a strikingly similar form as a large deviation function found earlier by the author for current fluctuations of the totally asymmetric exclusion process with periodic boundaries conditioned on flat initial and final states. A proposed explanation for this observation, which relates similar yet clearly distinct quantities, is that both results pertain to conditioning on the same kind of rare events where a current larger than typical is maintained throughout the system. Comment: Comment on arXiv:2402.10661 ; 2 pages |
| Databáze: | arXiv |
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