28 citations · 87 across the 8 of their papers we have counts for
4 papers · 1 filter
Simple CLE in Doubly Connected Domains
Scott Sheffield, Samuel S. Watson, Hao Wu
We study Conformal Loop Ensemble (CLE) in doubly connected domains: annuli, the punctured disc, and the punctured plane. We restrict attention to CLE for which the loops ar…
Fractional Gaussian fields: a survey
Asad Lodhia, Scott Sheffield, Xin Sun +1
We discuss a family of random fields indexed by a parameter which we call the fractional Gaussian fields, given by \[ \mathrm{FGF}_s(\mathbb{R}^d)=(-Δ)^{-s/2} W,…
The conformal loop ensemble nesting field
Jason Miller, Samuel S. Watson, David B. Wilson
The conformal loop ensemble CLE with parameter is the canonical conformally invariant measure on countably infinite collections of non-crossing loops in a simply c…
Extreme nesting in the conformal loop ensemble
Jason Miller, Samuel S. Watson, David B. Wilson
The conformal loop ensemble with parameter is the canonical conformally invariant measure on countably infinite collections of noncrossing loops i…