Derrida-Retaux type models and related scaling limit theorems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913582359248896 |
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| author | Li, Zenghu Zhang, Run |
| author_facet | Li, Zenghu Zhang, Run |
| contents | We give characterizations of the transition semigroup and generator of a continuous-time Derrida--Retaux type process that generalizes the one introduced by Hu, Mallein and Pain (Commun. Math. Phys., 2020). It is shown that the process arises naturally as the scaling limit of the discrete-time max-type recursive models introduced by Hu and Shi (J. Stat. Phys., 2018). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12189 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derrida-Retaux type models and related scaling limit theorems Li, Zenghu Zhang, Run Probability 60H20, 60J25, 60J76 We give characterizations of the transition semigroup and generator of a continuous-time Derrida--Retaux type process that generalizes the one introduced by Hu, Mallein and Pain (Commun. Math. Phys., 2020). It is shown that the process arises naturally as the scaling limit of the discrete-time max-type recursive models introduced by Hu and Shi (J. Stat. Phys., 2018). |
| title | Derrida-Retaux type models and related scaling limit theorems |
| topic | Probability 60H20, 60J25, 60J76 |
| url | https://arxiv.org/abs/2411.12189 |