Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2601.19546 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918308330078208 |
|---|---|
| author | Teixeira, Augusto Ungaretti, Daniel |
| author_facet | Teixeira, Augusto Ungaretti, Daniel |
| contents | We study the interface of covered and vacant sets in the subcritical phase of a scale-invariant Poisson stick soup on the plane. This model is a natural candidate for scaling limit of some planar models and has connections with long-range percolation on the plane with critical parameter $s=4$. We analyze a family of exploration paths on boxes and prove tightness for this family and Holder continuity for its limiting measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19546 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Holder continuity of interfaces for scale-invariant Poisson stick soup Teixeira, Augusto Ungaretti, Daniel Probability We study the interface of covered and vacant sets in the subcritical phase of a scale-invariant Poisson stick soup on the plane. This model is a natural candidate for scaling limit of some planar models and has connections with long-range percolation on the plane with critical parameter $s=4$. We analyze a family of exploration paths on boxes and prove tightness for this family and Holder continuity for its limiting measures. |
| title | Holder continuity of interfaces for scale-invariant Poisson stick soup |
| topic | Probability |
| url | https://arxiv.org/abs/2601.19546 |