Mathematics – Probability
Scientific paper
2008-10-06
Mathematics
Probability
35 pages; minor corrections to proof of Corollary 5.3
Scientific paper
10.1007/s00440-009-0252-4
We construct a natural measure mu supported on the intersection of a chordal SLE(kappa) curve gamma with the real line R, in the range 4 < kappa < 8. The measure is a function of the SLE path in question. Assuming that boundary measures transform in a ``d-dimensional'' way (where d is the Hausdorff dimension of gamma intersected with R), we show that the measure we construct is (up to multiplicative constant) the unique measure-valued function of the SLE path that satisfies the Domain Markov property.
Alberts Tom
Sheffield Scott
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