Stochastic Flows and Marked Stable Processes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911304106639360 |
|---|---|
| author | Aïdékon, Elie Shi, Quan Wang, Chengshi |
| author_facet | Aïdékon, Elie Shi, Quan Wang, Chengshi |
| contents | We construct a random partition of the space-time plane $\mathbb{R}_+\times \mathbb{R}$ using two coupled stochastic squared Bessel flows, whose parameters differ by $δ\in (0,2)$. We show that the cells of this partition correspond to squared Bessel excursions with a negative parameter $-δ$ which are embedded within the jumps of a spectrally positive $(1+\fracδ2)$ stable process. In particular, we demonstrate that interval partition evolutions [Forman et. al. 2020] and stable shredded disks [Björnberg, Curien and Stefánsson 2022] arise naturally in this framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Flows and Marked Stable Processes Aïdékon, Elie Shi, Quan Wang, Chengshi Probability 60G51, 60H40, 60J55, 60J80 We construct a random partition of the space-time plane $\mathbb{R}_+\times \mathbb{R}$ using two coupled stochastic squared Bessel flows, whose parameters differ by $δ\in (0,2)$. We show that the cells of this partition correspond to squared Bessel excursions with a negative parameter $-δ$ which are embedded within the jumps of a spectrally positive $(1+\fracδ2)$ stable process. In particular, we demonstrate that interval partition evolutions [Forman et. al. 2020] and stable shredded disks [Björnberg, Curien and Stefánsson 2022] arise naturally in this framework. |
| title | Stochastic Flows and Marked Stable Processes |
| topic | Probability 60G51, 60H40, 60J55, 60J80 |
| url | https://arxiv.org/abs/2512.05466 |