Comment on the paper "Exact decay of the persistence probability in the Airy$_1$ process" by Ferrari and Liu
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916520499609600 |
|---|---|
| author | Prolhac, Sylvain |
| author_facet | Prolhac, Sylvain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09660 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comment on the paper "Exact decay of the persistence probability in the Airy$_1$ process" by Ferrari and Liu Prolhac, Sylvain Statistical Mechanics Mathematical Physics Probability 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. |
| title | Comment on the paper "Exact decay of the persistence probability in the Airy$_1$ process" by Ferrari and Liu |
| topic | Statistical Mechanics Mathematical Physics Probability |
| url | https://arxiv.org/abs/2412.09660 |