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Title:
SLE variants in the critical Ising model
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Abstract:
Convergence of interfaces in the critical Ising model to SLE's can be studied far beyond the basic chordal case. We will discuss corresponding results for radial and multiple SLE's, and a general theorem for multiply-connected domains. We will sketch the proof for the radial case which employs a double-cover version of Smirnov's martingale observable, also used in our joint project with D. Chelkak and C. Hongler on spin correlations. Time permitting, we will also discuss a new proof of a theorem by C. Hongler and K. Kytölä on convergence o +/-/free Ising interfaces to dipolar SLE, based on yet another version of Smirnov's observale.
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