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In this paper we mingle the Gaussian free field, the Schramm-Loewner evolution and the KPZ relation in a natural way, shedding new light on all of them.
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J.B. Garnett and D.E. Marshall · 2005
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G. F. Lawler · 2005
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Basic properties of SLE
S. Rohde and O. Schramm · 2005
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Conformal random geometry
B. Duplantier · 2006
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Gaussian free fields for mathematicians
S. Sheffield · 2007
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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2010
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Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
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Schramm-loewner evolution and liouville quantum gravity
B. Duplantier and S. Sheffield · 2011
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KPZ formula for log-infinitely divisible multifractal random measures
R. Rhodes and V. Vargas · 2011
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Gaussian multiplicative chaos and KPZ duality
J. Barral, X. Jin, R. Rhodes, and V. Vargas · 2012
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The connective constant of the honeycomb lattice equals
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The dimension of the SLE curves
V. Beffara · 2008
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Harmonic measure and winding of random conformal paths: A coulomb gas perspective
B. Duplantier and I. A. Binder · 2008
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KPZ in one dimensional random geometry of multiplicative cascades
I. Benjamini and O. Schramm · 2009
Cited alongside, same era.
SLE and the free field: partition functions and couplings
J. Dubédat · 2009
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Conformal radii for conformal loop ensembles
O. Schramm, S. Sheffield, and D. B. Wilson · 2009
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H. Duminil-Copin and S. Smirnov · 2012
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Quantum gravity and the KPZ formula [after Duplantier-Sheffield]
C. Garban · 2012
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Imaginary Geometry I: Interacting SLEs
J. Miller and S. Sheffield · 2012
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Percolations on random maps I: half-plane models
O. Angel and N. Curien · 2013
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Multi-point Green’s functions for SLE and an estimate of Beffara
G. F. Lawler and B. M. Werness · 2013
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Uniqueness and universality of the Brownian map
J-F. Le Gall · 2013
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The Brownian map is the scaling limit of uniform random plane quadrangulations
G. Miermont · 2013
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Gaussian multiplicative chaos and applications: a review
R. Rhodes and V. Vargas · 2013
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A contour line of the continuum gaussian free field
O. Schramm and S. Sheffield · 2013
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