Two-sided radial SLE and length-biased chordal SLE

preprint2016arXivOpen access

We show that, for $κ\le 4$ , the integral of the two-sided radial SLE $_κ$ measures over all interior points is chordal SLE $_κ$ biased by the path's natural length, which is its $(1+κ/8)$ -dimensional Minkowski content.

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Two-sided radial SLE and length-biased chordal SLE

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