Fetching the paper…
Reading the bibliography…
We resolve a conjecture of Sheffield that $\SLE(4)$, a conformally invariant random curve, is the universal limit of the chordal zero-height contours of random surfaces with isotropic, uniformly convex potentials.
Large Deviations
Deuschel, J.-D · 1989
Earlier work this paper cites.
Motion by mean curvature from the Ginzburg-Landau ∇ ϕ \nabla\phi interface model
Funaki, T · 1997
Earlier work this paper cites.
On homogenization and scaling limit of some gradient perturbations of a massless free field
Naddaf, A · 1997
Earlier work this paper cites.
Entropic repulsion for massless fields
Deuschel, J.-D · 2000
Earlier work this paper cites.
Large deviations and concentration properties for ∇ ϕ \nabla\phi interface models
Deuschel, J.-D · 2000
Earlier work this paper cites.
Scaling limits of loop-erased random walks and uniform spanning trees
Schramm, O · 2000
Earlier work this paper cites.
Equilibrium fluctuations for the ∇ ϕ \nabla\phi interface model
Giacomin, G · 2001
Earlier work this paper cites.
Critical percolation in the plane: Conformal invariance, Cardy’s formula, scaling limits
Smirnov, S · 2001
Cited alongside, same era.
Random planar curves and Schramm-Loewner evolutions
Werner, W · 2003
Cited alongside, same era.
Large deviations for ∇ ϕ \nabla\phi interface model and derivation of free boundary problems
Funaki, T · 2004
Cited alongside, same era.
Conformal invariance of planar loop-erased random walk and uniform spanning trees
Lawler, G · 2004
Cited alongside, same era.
Conformally invariant processes in the plane
Lawler, G · 2005
Cited alongside, same era.
Basic properties of SLE
Rohde, S · 2005
Cited alongside, same era.
Two-dimensional critical percolation: the full scaling limit
Camia, F · 2006
Later among the works it cites.
Random Surfaces
Sheffield, S · 2006
Later among the works it cites.
The dynamic of entropic repulsion
Deuschel, J.-D · 2007
Later among the works it cites.
Contour lines of the discrete Gaussian free field
Schramm, O · 2009
Later among the works it cites.
Fluctuations for the Ginzburg-Landau ∇ ϕ \nabla\phi interface model
Miller, J · 2010
Closest in time.
Strong path convergence from Loewner driving function convergence
Sheffield, S · 2010
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Harmonic explorer and its convergence to SLE
Schramm, O · 2005
Cited alongside, same era.
Discrete complex analysis on isoradial graphs
Chelkak, D
Cited in the paper.
Universality in the 2D Ising model and conformal invariance of fermionic observables
Chelkak, D
Cited in the paper.
Conformal invariance of domino tiling
Kenyon, R
Cited in the paper.
Dominos and the Gaussian free field
Kenyon, R
Cited in the paper.
Private communication
Sheffield, S
Cited in the paper.