Large deviations of Schramm-Loewner evolutions: A survey
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916113211719680 |
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| author | Wang, Yilin |
| author_facet | Wang, Yilin |
| contents | These notes survey the first results on large deviations of Schramm-Loewner evolutions (SLE) with emphasis on interrelations between rate functions and applications to complex analysis. More precisely, we describe the large deviations of SLE$_κ$ when the $κ$ parameter goes to zero in the chordal and multichordal case and to infinity in the radial case. The rate functions, namely Loewner and Loewner-Kufarev energies, are closely related to the Weil-Petersson class of quasicircles and real rational functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_07032 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Large deviations of Schramm-Loewner evolutions: A survey Wang, Yilin Probability Complex Variables Primary: 60J67, 60F10, Secondary: 30C55 These notes survey the first results on large deviations of Schramm-Loewner evolutions (SLE) with emphasis on interrelations between rate functions and applications to complex analysis. More precisely, we describe the large deviations of SLE$_κ$ when the $κ$ parameter goes to zero in the chordal and multichordal case and to infinity in the radial case. The rate functions, namely Loewner and Loewner-Kufarev energies, are closely related to the Weil-Petersson class of quasicircles and real rational functions. |
| title | Large deviations of Schramm-Loewner evolutions: A survey |
| topic | Probability Complex Variables Primary: 60J67, 60F10, Secondary: 30C55 |
| url | https://arxiv.org/abs/2102.07032 |