Restricting SLE(8/3) to an annulus

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We study the probability that chordal SLE₈/₃ in the unit disk from (ix) to 1 avoids the disk of radius q centered at zero. We find the initial/boundary-value problem satisfied by this probability as a function of x and a= q, and show that asymptotically as q tends to one this probability decays like (-cx/(1-q)) with c=5π/8 for x∈[0,π]. We also give a representation of this probability as a functional of a Legendre process.