Boundary arm exponents for SLE

Hao Wu; Dapeng Zhan

doi:10.1214/17-EJP110

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Home > Journals > Electron. J. Probab. > Volume 22 > Article

2017 Boundary arm exponents for SLE

Hao Wu, Dapeng Zhan

Electron. J. Probab. 22: 1-26 (2017). DOI: 10.1214/17-EJP110

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Abstract

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.