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We prove the existence and nontriviality of the $d$-dimensional 4 Minkowski content for the Schramm-Loewner evolution ($\mathrm {SLE}_{\kappa}$) with $\kappa<8$ and $d=1+\frac{\kappa}{8}$.
Lawler, Gregory F.G. F. andSheffield, ScottS. (2011). A natural parametrization for the Schramm–Loewner evolution. Ann. Probab. 39 1896–1937
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Schramm, OdedO. (2000). Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math. 118 221–288
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Smirnov, StanislavS. (2001). Critical percolation in the plane: Conformal invariance, Cardy’s formula, scaling limits. C. R. Acad. Sci. Paris Sér. I Math. 333 239–244
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Lawler, Gregory F.G. F., Schramm, OdedO. andWerner, WendelinW. (2004). Conformal invariance of planar loop-erased random walks and uniform spanning trees. Ann. Probab. 32 939–995
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Lawler, Gregory F.G. F. (2005). Conformally Invariant Processes in the Plane. Mathematical Surveys and Monographs 114. Amer. Math. Soc., Providence, RI
2005
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Schramm, OdedO. andSheffield, ScottS. (2005). Harmonic explorer and its convergence to SLE 4 \mathrm{SLE}_{4} . Ann. Probab. 33 2127–2148
2005
Cited alongside, same era.
Alberts, TomT. andKozdron, Michael J.M. J. (2008). Intersection probabilities for a chordal SLE path and a semicircle. Electron. Commun. Probab. 13 448–460
2008
Cited alongside, same era.
Beffara, VincentV. (2008). The dimension of the SLE curves. Ann. Probab. 36 1421–1452
2008
Cited alongside, same era.
Lind, Joan R.J. R. (2008). Hölder regularity of the SLE trace. Trans. Amer. Math. Soc. 360 3557–3578
2008
Cited alongside, same era.
2010
Cited alongside, same era.
Johansson Viklund, FredrikF. andLawler, Gregory F.G. F. (2011). Optimal Hölder exponent for the SLE path. Duke Math. J. 159 351–383
2011
Later among the works it cites.
Rezaei, M.M. (2012). Hausdorff measure of SLE curves. Preprint
2012
Closest in time.
Lawler, Gregory F.G. F. (2013). Continuity of radial and two-sided radial SLE at the terminal point. In In the Tradition of Ahlfors–Bers. VI. Contemp. Math. 590 101–124. Amer. Math. Soc., Providence, RI
2013
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Lawler, Gregory F.G. F. andWerness, Brent M.B. M. (2013). Multi-point Green’s functions for SLE and an estimate of Beffara. Ann. Probab. 41 1513–1555
2013
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Lawler, Gregory F.G. F. andZhou, WangW. (2013). SLE curves and natural parametrization. Ann. Probab. 41 1556–1584
2013
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