Electronic Journal of Probability

Boundary arm exponents for SLE

Hao Wu and Dapeng Zhan

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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.

Article information

Electron. J. Probab., Volume 22 (2017), paper no. 89, 26 pp.

Received: 21 June 2016
Accepted: 19 September 2017
First available in Project Euclid: 18 October 2017

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Zentralblatt MATH identifier

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

Schramm Loewner evolution boundary arm exponents

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Wu, Hao; Zhan, Dapeng. Boundary arm exponents for SLE. Electron. J. Probab. 22 (2017), paper no. 89, 26 pp. doi:10.1214/17-EJP110. https://projecteuclid.org/euclid.ejp/1508292260

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