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Hausdorff dimensions for SLE6

  • Vincent Beffara [1]
    1. [1] University of Paris-Sud

      University of Paris-Sud

      Arrondissement de Palaiseau, Francia

  • Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 3, 2, 2004, págs. 2606-2629
  • Idioma: inglés
  • DOI: 10.1214/009117904000000072
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We prove that the Hausdorff dimension of the trace of SLE6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler–Schramm–Werner) that the dimension of its boundary is 4/3. We also prove that, for all κ<8, the SLEκ trace has cut-points.


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