Defining SLE in multiply connected domains with the Brownian loop measure
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Publication:6227248
arXiv1108.4364MaRDI QIDQ6227248
Publication date: 22 August 2011
Abstract: We define the Schramm-Loewner evolution (SLE) in multiply connected domains for kappa leq 4 using the Brownian loop measure. We show that in the case of the annulus, this is the same measure obtained recently by Dapeng Zhan. We use the loop formulation to give a different derivation of the partial differential equation for the partition function for the annulus.
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