Extremal process in nested conformal loops
- Elie Aidekon (Université Pierre et Marie Curie, Paris, France)
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.