Multiple SLEs and Dyson Brownian motion: transition density and Green's function
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916926182129664 |
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| author | Huang, Chongzhi Wu, Hao Yang, Lu |
| author_facet | Huang, Chongzhi Wu, Hao Yang, Lu |
| contents | We consider multiple chordal Schramm-Loewner evolution (SLE) with $κ\in (0,4]$. Under common-time parameterization, we show that the transition density of the driving function of multiple chordal SLEs can be given by the transition density of Dyson Brownian motion and Green's function. This is a companion paper of [FWY24]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06789 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Multiple SLEs and Dyson Brownian motion: transition density and Green's function Huang, Chongzhi Wu, Hao Yang, Lu Probability 60J67 We consider multiple chordal Schramm-Loewner evolution (SLE) with $κ\in (0,4]$. Under common-time parameterization, we show that the transition density of the driving function of multiple chordal SLEs can be given by the transition density of Dyson Brownian motion and Green's function. This is a companion paper of [FWY24]. |
| title | Multiple SLEs and Dyson Brownian motion: transition density and Green's function |
| topic | Probability 60J67 |
| url | https://arxiv.org/abs/2311.06789 |