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Large deviations of Schramm-Loewner evolutions: A survey

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 نشر من قبل Yilin Wang
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Yilin Wang




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These notes survey the first and recent results on large deviations of Schramm-Loewner evolutions (SLE) with the emphasis on interrelations among rate functions and applications to complex analysis. More precisely, we describe the large deviations of SLE$_kappa$ when the $kappa$ 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.



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