CLE PERCOLATIONS

Abstract

Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose laws are characterized by a natural conformal invariance property. The set of points not surrounded by any loop is a canonical random connected fractal set — a random and conformally invariant analog of the Sierpinski carpet or gasket.

Keywords

• 69G60
• 60K35
• 60J67
• 81T40
• 82B43