Spherical Minkowski content and natural parametrization on the sphere for Schramm-Loewner evolution
| Autor: | Wei, Tianyu, Dai, Wanyang |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Studying SLE$_{\kappa}$ on $S^2$ provides a new and interesting perspective for the conformality of some 2-dimensional physical models. We prove the existence and some basic properties of the spherical Minkowski content of SLE$_{\kappa}$, which is finite and can be viewed as the natural parametrization of SLE$_{\kappa}$ on $S^2$. Comment: The co-author Wanyang Dai does not agree to the submission, because he has not checked the article carefully and doubts there are some mistakes not found. As the submitting author, I apologize for not getting consent from the co-author |
| Databáze: | arXiv |
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