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This text is a survey (Bourbaki seminar) on the paper "Liouville quantum gravity and KPZ" By B.Duplantier and S.Sheffield.
Crystal statistics. I. A two-dimensional model with an order-disorder transition
Lars Onsager · 1944
Earlier work this paper cites.
Sur le chaos multiplicatif
Jean-Pierre Kahane · 1985
Earlier work this paper cites.
Ising model on a dynamical planar random lattice: exact solution
V. A. Kazakov · 1986
Earlier work this paper cites.
Exact determination of the percolation hull exponent in two dimensions
H. Saleur and B. Duplantier · 1987
Earlier work this paper cites.
Conformal Field theories coupled to 2-D gravity in the conformal gauge
François David · 1988
Earlier work this paper cites.
Conformal invariance and intersection of random walks
B. Duplantier and Kwon K.-H · 1988
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Fractal structure of
V. G. Knizhnik, A. M. Polyakov, and A. B. Zamolodchikov · 1988
Earlier work this paper cites.
Random walks and quantum gravity in two dimensions
Bertrand Duplantier · 1998
Earlier work this paper cites.
Intersection exponents for planar Brownian motion
Gregory F. Lawler and Wendelin Werner · 1999
Earlier work this paper cites.
Values of Brownian intersection exponents. I. Half-plane exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2001
Earlier work this paper cites.
Values of Brownian intersection exponents. II. Plane exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2001
Earlier work this paper cites.
Growth and percolation on the uniform infinite planar triangulation
Omer Angel · 2003
Cited alongside, same era.
Conformal fractal geometry & boundary quantum gravity
Bertrand Duplantier · 2004
Cited alongside, same era.
The topological structure of scaling limits of large planar maps
Jean-François Le Gall · 2007
Cited alongside, same era.
Gaussian free fields for mathematicians
Scott Sheffield · 2007
Cited alongside, same era.
Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
Jean-François Le Gall and Frédéric Paulin · 2008
Cited alongside, same era.
On the sphericity of scaling limits of random planar quadrangulations
Grégory Miermont · 2008
Cited alongside, same era.
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Scott Sheffield · 2010
Later among the works it cites.
Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
Stanislav Smirnov · 2010
Later among the works it cites.
Scaling limit of random planar quadrangulations with a boundary
J. Bettinelli · 2011
Later among the works it cites.
Liouville quantum gravity and KPZ
Bertrand Duplantier and Scott Sheffield · 2011
Later among the works it cites.
Uniqueness and universality of the Brownian map
Jean-François Le Gall · 2011
Later among the works it cites.
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Rémi Rhodes and Vincent Vargas · 2008
Cited alongside, same era.
KPZ in one dimensional random geometry of multiplicative cascades
Itai Benjamini and Oded Schramm · 2009
Cited alongside, same era.
SLE and the free field: partition functions and couplings
Julien Dubédat · 2009
Cited alongside, same era.
Random walk: a modern introduction
Gregory F. Lawler and Vlada Limic · 2010
Cited alongside, same era.
Gaussian multiplicative chaos revisited
Raoul Robert and Vincent Vargas · 2010
Cited alongside, same era.
Percolations on infinite random maps
Omer Angel and Nicolas Curien
Cited in the paper.
Scaling limits of random planar maps with large faces
Jean-François Le Gall and Grégory Miermont · 2011
Later among the works it cites.
Scaling limits of random trees and planar maps
Jean-François Le Gall and Grégory Miermont · 2011
Later among the works it cites.
The Brownian map is the scaling limit of uniform random plane quadrangulations
Grégory Miermont · 2011
Later among the works it cites.
Gaussian multiplicative chaos and KPZ duality
J. Barral, X. Jin, R. Rhodes, and V. Vargas · 2012
Closest in time.
Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points
Itai Benjamini and Nicolas Curien · 2012
Closest in time.