Extremal process in nested conformal loops

By analogy with the Liouville measures constructed by Duplantier and Sheffield in the case of the Gaussian Free Field, we construct measures associated to a collection of nested conformal loops. Then, we study the extremal process associated to the maximal conformal radius. We show that it gives a decorated Poisson point process, similarly to what is already known in the branching Brownian motion case, and to what is conjectured for the GFF.