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作者：Zhan, Dapeng
作者单位：University of California System; University of California Berkeley
摘要：We prove that the chordal SLE kappa trace is reversible for kappa is an element of (0, 4].
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作者：Guan, Qing-Yang; Winkel, Matthias
作者单位：Chinese Academy of Sciences; University of Oxford
摘要：Stochastic Loewner evolutions (SLE) with a multiple root kappa B of Brownian motion B as driving process are random planar curves (if kappa < 4) or growing compact sets generated by a curve (if kappa > 4). We consider here more general Levy processes as driving processes and obtain evolutions expected to look like random trees or compact sets generated by trees, respectively. We show that when the driving force is of the form root kappa B + theta(1/alpha) S for a symmetric a-stable Levy proces...
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作者：Beffara, Vincent
作者单位：Ecole Normale Superieure de Lyon (ENS de LYON); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
摘要：Let gamma be the curve generating a Schramm-Loewner Evolution (SLE) process, with parameter kappa >= 0. We prove that, with probability one, the Hausdorff dimension of gamma is equal to Min(2, 1 + kappa/8).
