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In this paper we prove that the Hausdorff d-measure of SLE_{\kappa} is zero when d = 1+{\kappa}/ 8 .
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G. Lawler (2005). Conformally Invariant Processes in the Plane
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S. Rohde and O. Schramm (2005). Basic properties of SLE, Annals of Math. 161
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O. Schramm and S. Sheffield (2005). Harmonic explorer and its convergence to SLE(4), Annals of Prob. 33
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V. Beffara (2008). The dimension of SLE curves, Annals of Prob. 36
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G. Lawler (2009). Schramm-Loewner evolution, in statistical mechanics
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S. Smirnov (2009). Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model, Ann of Math. 172
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G. Lawler (2012). Continuity of radial and two-sided radial SLE κ
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P. Morters and Y. Peres, B r o w n i a n m o t i o n Brownian\;motion , In press
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G. Lawler and B. Werness (2013). Multi point Green’s function for SLE and an estimate of Beffara, Annals of Prob. 41
2013
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G. Lawler and W. Zhou (2013). SLE curves and natural parametrization, Ann of Prob. 41
2013
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J. Miller and H. Wu (2013). Intersections of SLE Paths: the double and cut point dimension of SLE, to appear in Probability Theory and Related Fields
2013
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G. Lawler and M. Rezaei (2015). Minkowski content and natural parametrization for the Schramm-Loewner evolution, Annals of Prob. 43
2015
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2016
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