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In this note, we prove a version of the conjectured duality of Schramm-Loewner Evolutions, by establishing exact identities in distribution between some boundary arcs of chordal $\SLE_\kappa$, $\kappa>4$, and appropriate versions of $\SLE_{\hat\kappa}$, $\hat\kappa=16/\kappa$.
Boundary behaviour of conformal maps
C. Pommerenke · 1992
Earlier work this paper cites.
Continuous martingales and Brownian motion
D. Revuz and M. Yor · 1999
Earlier work this paper cites.
Conformal restriction: the chordal case
G. Lawler, O. Schramm, and W. Werner · 2003
Earlier work this paper cites.
Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. F. Lawler, O. Schramm, and W. Werner · 2004
Earlier work this paper cites.
The Brownian loop soup
G. F. Lawler and W. Werner · 2004
Earlier work this paper cites.
Girsanov’s transformation for SLE ( κ , ρ ) {\rm SLE}(\kappa,\rho) processes, intersection exponents and hiding exponents
W. Werner · 2004
Earlier work this paper cites.
Random planar curves and Schramm-Loewner evolutions
W. Werner · 2004
Cited alongside, same era.
SLE ( κ , ρ ) {\rm SLE}(\kappa,\rho) martingales and duality
J. Dubédat · 2005
Cited alongside, same era.
Conformally invariant processes in the plane
G. F. Lawler · 2005
Cited alongside, same era.
Basic properties of SLE
S. Rohde and O. Schramm · 2005
Cited alongside, same era.
SLE coordinate changes
O. Schramm and D. B. Wilson · 2005
Cited alongside, same era.
Euler integrals for commuting SLEs
J. Dubédat · 2006
Later among the works it cites.
Contour lines of the two-dimensional discrete Gaussian free field
O. Schramm and S. Sheffield · 2006
Later among the works it cites.
Commutation relations for SLE
J. Dubédat · 2007
Closest in time.
The configurational measure on mutually avoiding SLE paths
M. J. Kozdron and G. F. Lawler · 2007
Closest in time.
D. Zhan · 2007
Closest in time.
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