Integral means spectrum of whole-plane SLE

Abstract : We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means spectrum. For the unbounded version of whole-plane SLE as studied by Duplantier, Nguyen, Nguyen and Zinsmeister, and Loutsenko and Yermolayeva, a phase transition has been shown to occur for high enough moments from the bulk spectrum towards a novel spectrum related to the point at infinity. For the bounded version of whole-plane SLE studied here, a similar transition phenomenon, now associated with the SLE origin, is proved to exist for low enough moments, but we show that it is superseded by the earlier occurrence of the transition to the SLE tip spectrum.
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Article dans une revue
Communications in Mathematical Physics, Springer Verlag, 2017, 353 (1), pp.119 - 133
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https://hal-cea.archives-ouvertes.fr/cea-01587654
Contributeur : Emmanuelle De Laborderie <>
Soumis le : jeudi 14 septembre 2017 - 15:09:53
Dernière modification le : jeudi 3 mai 2018 - 15:32:07

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  • HAL Id : cea-01587654, version 1
  • ARXIV : 1605.03112

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Dmitry Beliaev, Bertrand Duplantier, Michel Zinsmeister. Integral means spectrum of whole-plane SLE. Communications in Mathematical Physics, Springer Verlag, 2017, 353 (1), pp.119 - 133. 〈cea-01587654〉

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