87 citations · 226 across the 14 of their papers we have counts for
Showing 2006 · math.PRShow all
3 papers · 2 filters
math.PR2006★ 82 cited
Conformal radii for conformal loop ensembles
Oded Schramm, Scott Sheffield, David B. Wilson
The conformal loop ensembles CLE(k), defined for k in [8/3, 8], are random collections of loops in a planar domain which are conjectured scaling limits of the O(n) loop models. We…
math.PR2006★ 1 cited
Contour lines of the two-dimensional discrete Gaussian free field
Oded Schramm, Scott Sheffield
We prove that the chordal contour lines of the discrete Gaussian free field converge to forms of SLE(4). Specifically, there is a constant lambda > 0 such that when h is an interpo…
math.PR2006
Conformally invariant scaling limits (an overview and a collection of problems)
Oded Schramm
Many mathematical models of statistical physics in two dimensions are either known or conjectured to exhibit conformal invariance. Over the years, physicists proposed predictions o…