A Gaussian free field approach to the natural parametrisation of SLE$_4$
Abstract
We construct the natural parametrisation of SLE$_4$ using the Gaussian free field, complementing the corresponding results for SLE$_\kappa$ for $\kappa \in (0,4)$ by Benoist and for $\kappa \in (4,8)$ by Miller and Schoug.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- 10.48550/arXiv.2306.11703
- arXiv:
- arXiv:2306.11703
- Bibcode:
- 2023arXiv230611703M
- Keywords:
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- Mathematics - Probability;
- Mathematical Physics;
- Mathematics - Complex Variables;
- Primary 60J67;
- Secondary 60G57
- E-Print:
- 13 pages. Final version, to appear in Electron. Comm. Probab