Electronic Communications in Probability

Up-to-constants bounds on the two-point Green's function for SLE curves

Gregory Lawler and Mohammad Rezaei

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Abstract

The Green's function for the chordal Schramm-Loewner evolution $SLE_\kappa$for $0 < \kappa < 8$,  gives the normalizedprobability of getting near points.  We give  up-to-constant bounds for the two-point Green's function.

Article information

Source
Electron. Commun. Probab., Volume 20 (2015), paper no. 45, 13 pp.

Dates
Accepted: 10 June 2015
First available in Project Euclid: 7 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.ecp/1465320972

Digital Object Identifier
doi:10.1214/ECP.v20-4246

Mathematical Reviews number (MathSciNet)
MR3358967

Zentralblatt MATH identifier
1325.60136

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

Keywords
SLE Two-point Green's function

Rights
This work is licensed under a Creative Commons Attribution 3.0 License.

Citation

Lawler, Gregory; Rezaei, Mohammad. Up-to-constants bounds on the two-point Green's function for SLE curves. Electron. Commun. Probab. 20 (2015), paper no. 45, 13 pp. doi:10.1214/ECP.v20-4246. https://projecteuclid.org/euclid.ecp/1465320972


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References

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