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We revisit regularity of SLE trace, for all $\kappa \neq 8$, and establish Besov regularity under the usual half-space capacity parametrization.
Conformal invariance of planar loop-erased random walks and uniform spanning trees
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2004
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Conformally invariant processes in the plane
Gregory F. Lawler · 2005
Earlier work this paper cites.
Basic properties of SLE
Steffen Rohde and Oded Schramm · 2005
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A variation embedding theorem and applications
Peter Friz and Nicolas Victoir · 2006
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The dimension of the SLE curves
Vincent Beffara · 2008
Earlier work this paper cites.
Hölder regularity of the SLE trace
Joan R. Lind · 2008
Cited alongside, same era.
Densities for rough differential equations under Hörmander’s condition
Thomas Cass and Peter Friz · 2010
Cited alongside, same era.
Optimal Hölder exponent for the SLE path
Fredrik Johansson Viklund and Gregory F. Lawler · 2011
Cited alongside, same era.
A natural parametrization for the Schramm-Loewner evolution
Gregory F. Lawler and Scott Sheffield · 2011
Cited alongside, same era.
Fractal and multifractal properties of Schramm-Loewner evolution
Gregory F. Lawler · 2012
Cited alongside, same era.
Personal communication
Gregory Lawler and Brent Werness
Cited in the paper.
Regularity of Schramm-Loewner evolutions, annular crossings, and rough path theory
Brent M. Werness · 2012
Later among the works it cites.
On the continuity of SLE κ \text{SLE}_{\kappa} in κ \kappa
Fredrik Johansson Viklund, Steffen Rohde, and Carto Wong · 2014
Later among the works it cites.
Smoothness of the density for solutions to Gaussian rough differential equations
Thomas Cass, Martin Hairer, Christian Litterer, and Samy Tindel · 2015
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Minkowski content and natural parameterization for the Schramm-Loewner evolution
Gregory F. Lawler and Mohammad A. Rezaei · 2015
Later among the works it cites.
Rough path metrics on a Besov-Nikolskii type scale
P. K. Friz and D. J. Prömel · 2016
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