Minkowski content and natural parameterization for the Schramm–Loewner evolution

• Lawler, Gregory F ^[1] ; Rezaei, Mohammad A ^[1]
  1. [1] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 43, Nº. 3, 2015, págs. 1082-1120
• Idioma: inglés
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• Resumen

  • We prove the existence and nontriviality of the d-dimensional 4 Minkowski content for the Schramm–Loewner evolution (SLEκ) with κ<8 and d=1+κ8. We show that this is a multiple of the natural parameterization.