Critical percolation in some random fractal gaskets

Speaker(s): 
Wendelin Werner (ETH Zürich)
Date: 
Wednesday, April 23, 2014 - 5:00pm
Location: 
WIAS, Erhard-Schmidt-Saal, Mohrenstraße 39, 10117 Berlin

We will survey some recent work and work in progress with Jason Miller and Scott Sheeld on coupling between various conformal loop ensembles (these are natural random collection of loops in a two-dimensional domain). One motivation for this work is to try to shed some light on what continuous critical percolation within random CLE gaskets (the space left inbetween the loops) could be, and on the continuous analogue of the coupling between Potts models and their random cluster representations.