The dimension of the SLE curves

Beffara, Vincent

Ann. Probab., Tome 36 (2008) no. 1, p. 1421-1452 / Harvested from Project Euclid

Résumé

Let γ be the curve generating a Schramm–Loewner Evolution (SLE) process, with parameter κ≥0. We prove that, with probability one, the Hausdorff dimension of γ is equal to Min(2, 1+κ/8).

Publié le : 2008-07-15
Classification: SLE, Hausdorff dimension, 60D05, 60G17, 28A80

@article{1217360974,
     author = {Beffara, Vincent},
     title = {The dimension of the SLE curves},
     journal = {Ann. Probab.},
     volume = {36},
     number = {1},
     year = {2008},
     pages = { 1421-1452},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1217360974}
}

Beffara, Vincent. The dimension of the SLE curves. Ann. Probab., Tome 36 (2008) no. 1, pp.  1421-1452. http://gdmltest.u-ga.fr/item/1217360974/