Duality of Schramm-Loewner evolutions

[Dualité des évolutions de Schramm-Loewner]

Dubédat, Julien

Annales scientifiques de l'École Normale Supérieure, Tome 42 (2009), p. 697-724 / Harvested from Numdam

Résumé

On démontre dans cette note une version de la dualité conjecturée pour les évolutions de Schramm-Loewner, en établissant des identités en distribution exactes entre certains arcs de $\mathrm {SLE}_\kappa $ chordal, $\kappa >4$, et des versions appropriées de $\mathrm {SLE}_{\hat{\kappa }}$, $\hat{\kappa }=16/\kappa $.

Abstract

In this note, we prove a version of the conjectured duality for Schramm-Loewner Evolutions, by establishing exact identities in distribution between some boundary arcs of chordal $\mathrm {SLE}_\kappa $, $\kappa >4$, and appropriate versions of $\mathrm {SLE}_{\hat{\kappa }}$, $\hat{\kappa }=16/\kappa $.

Détail

Publié le : 2009-01-01

Zbl 1205.60147 | 1 citation dans Numdam

DOI : https://doi.org/10.24033/asens.2107
Classification:  60G17,  60K35
Mots clés: Évolution de Schramm-Loewner, dualité, fonction de partition

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