Open Access
2015 Escape probability and transience for SLE
Laurence Field, Gregory Lawler
Author Affiliations +
Electron. J. Probab. 20: 1-14 (2015). DOI: 10.1214/EJP.v20-3714

Abstract

We give estimates for the probability that a chordal, radial or two-sided radial SLE$_\kappa$ curve retreats far from its terminal point after coming close to it, for $\kappa \le 4$. The estimates are uniform over all initial segments of the curve, and are sharp up to a universal constant.

Citation

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Laurence Field. Gregory Lawler. "Escape probability and transience for SLE." Electron. J. Probab. 20 1 - 14, 2015. https://doi.org/10.1214/EJP.v20-3714

Information

Accepted: 11 February 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1321.60163
MathSciNet: MR3317152
Digital Object Identifier: 10.1214/EJP.v20-3714

Subjects:
Primary: 60J67
Secondary: 60J65

Keywords: Brownian motion , Schramm-Loewner evolution

Vol.20 • 2015
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