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Schramm-Loewner Evolutions ($\SLE$) are random curves in planar simply connected domains; the massless (Euclidean) free field in such a domain is a random distribution.
The P ( ϕ ) 2 P(\phi)_{2} Euclidean (quantum) field theory
B. Simon · 1974
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Quantum geometry of bosonic strings
A. M. Polyakov · 1981
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Theory of strings with boundaries: fluctuations, topology and quantum geometry
O. Alvarez · 1983
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Quantum physics
J. Glimm and A. Jaffe · 1987
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Functional determinants on punctured Riemann surfaces and their application to string theory
H. Sonoda · 1987
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Extremals of determinants of Laplacians
B. Osgood, R. Phillips, and P. Sarnak · 1988
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Gaussian Hilbert spaces
S. Janson · 1997
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Lectures on conformal field theory
K. Gawȩdzki · 1999
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Continuous martingales and Brownian motion
D. Revuz and M. Yor · 1999
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Conformal invariance of domino tiling
R. Kenyon · 2000
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Trees and matchings
R. W. Kenyon, J. G. Propp, and D. B. Wilson · 2000
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Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
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Dominos and the Gaussian free field
R. Kenyon · 2001
Earlier work this paper cites.
Second order partial differential equations in Hilbert spaces
G. Da Prato and J. Zabczyk · 2002
Earlier work this paper cites.
SLE, CFT, and phase boundaries
M. Kontsevich · 2003
Cited alongside, same era.
Conformal restriction: the chordal case
G. Lawler, O. Schramm, and W. Werner · 2003
Cited alongside, same era.
Hausdorff dimensions for SLE 6 \rm SLE_{6}
V. Beffara · 2004
Cited alongside, same era.
On conformal field theory and stochastic Loewner evolution
R. Friedrich and J. Kalkkinen · 2004
Cited alongside, same era.
Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. F. Lawler, O. Schramm, and W. Werner · 2004
Cited alongside, same era.
The Brownian loop soup
G. F. Lawler and W. Werner · 2004
Cited alongside, same era.
Random planar curves and Schramm-Loewner evolutions
Excursion decompositions for SLE and Watts’ crossing formula
J. Dubédat · 2006
Later among the works it cites.
Boundary Partitions in Trees and Dimers
R. Kenyon and D. Wilson · 2006
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On Malliavin measures, SLE and CFT
M. Kontsevich and Y. Suhov · 2006
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Markov loops, determinants and Gaussian fields
Y. Le Jan · 2006
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Contour lines of the two-dimensional discrete Gaussian free field
O. Schramm and S. Sheffield · 2006
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SLE exploration trees and conformal loop ensembles
S. Sheffield · 2006
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Commutation relations for SLE
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W. Werner · 2004
Cited alongside, same era.
The Full Scaling Limit of Two-Dimensional Critical Percolation
F. Camia and C. M. Newman · 2005
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.
Trace ideals and their applications
B. Simon · 2005
Cited alongside, same era.
J. Dubédat · 2007
Closest in time.
Duality of Schramm-Loewner Evolutions
J. Dubédat · 2007
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SLE partition functions, ζ \zeta -regularization and Virasoro representations
J. Dubédat · 2007
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Random walk loop soup
G. F. Lawler and J. A. Trujillo Ferreras · 2007
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In preparation
O. Schramm and S. Sheffield · 2007
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Gaussian free fields for mathematicians
S. Sheffield · 2007
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D. Zhan · 2007
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Reversibility of chordal SLE
D. Zhan · 2007
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