Decomposition of Hypergeometric SLE and Reversibility
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913188429168640 |
|---|---|
| author | Liu, Mingchang |
| author_facet | Liu, Mingchang |
| contents | In this paper, we consider hypergeometric SLE process for $κ\in (4,8)$ and $ν>\fracκ{2}-6$. Though the definition of hypergeometric SLE process is complicated, we show that given its hitting point on a specific boundary, its conditional law can be described by SLE$_κ(\underlineρ)$ process. Based on this observation, by constructing a pair of curves, we derive the reversibility of hypergeometric SLE for $κ\in(4,8)$ and $ν>-2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03503 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Decomposition of Hypergeometric SLE and Reversibility Liu, Mingchang Probability In this paper, we consider hypergeometric SLE process for $κ\in (4,8)$ and $ν>\fracκ{2}-6$. Though the definition of hypergeometric SLE process is complicated, we show that given its hitting point on a specific boundary, its conditional law can be described by SLE$_κ(\underlineρ)$ process. Based on this observation, by constructing a pair of curves, we derive the reversibility of hypergeometric SLE for $κ\in(4,8)$ and $ν>-2$. |
| title | Decomposition of Hypergeometric SLE and Reversibility |
| topic | Probability |
| url | https://arxiv.org/abs/2401.03503 |