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Boundary arm exponents for SLE. (English) Zbl 1386.60286

Summary: We derive boundary arm exponents for SLE. These exponents were predicted by the conformal field theory and KPZ relation. We provide a rigorous derivation. Furthermore, these exponents give the alternating half-plane arm exponents for the planar critical Ising and FK-Ising models.

MSC:

60J67 Stochastic (Schramm-)Loewner evolution (SLE)