Abstract
For κ∈(0,4], a family of annulus SLE(κ;Λ) processes were introduced in (Zhan in arXiv:1004.1865v1) to prove the reversibility of whole-plane SLE(κ). In this paper we prove that those annulus SLE(κ;Λ) processes satisfy a restriction property, which is similar to that for chordal SLE(κ). Using this property, we construct n≥2 curves crossing an annulus such that, when any n−1 curves are given, the last curve is a chordal SLE(κ) trace.
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Supported by NSF grants DMS-0963733 and DMS-1056840.
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Zhan, D. Restriction Properties of Annulus SLE. J Stat Phys 146, 1026–1058 (2012). https://doi.org/10.1007/s10955-012-0438-5
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DOI: https://doi.org/10.1007/s10955-012-0438-5