5 papers · 1 filter
The conformally invariant metric on CLE III: uniqueness
Emmanuel Kammerer, Konstantinos Kavvadias, Jason Miller +1
This paper is the third and final article in a series of papers constructing the canonical conformally invariant metric on the set of loops of the conformal loop ensemble (CLE) wit…
The conformally invariant metric on CLE II: existence of geodesics
Emmanuel Kammerer, Konstantinos Kavvadias, Jason Miller +1
We continue our study of the conformal loop ensemble (CLE) with parameter , the critical threshold at or below which the loops are simple and disjoint, touching neither each o…
The conformally invariant metric on CLE I: subsequential limits of the non-simple CLE graph metric
Emmanuel Kammerer, Konstantinos Kavvadias, Jason Miller +1
We consider the conformal loop ensemble (CLE) with the parameter , the critical value at or below which the loops are simple and do not intersect each other or the domain boun…
From Kreweras walks to branching perimeter processes of percolated triangulations
Renan Gross, Emmanuel Kammerer, Frederik Ravn Klausen
In this note, using a result of Bernardi, Holden and Sun, we give an explicit geometric relation between the perimeter of the peeling process along the percolation interface of a t…
Depth profile of depth-weighted trees with bounded weights
Emmanuel Kammerer
We study the depth-weighted random recursive trees introduced by Leckey, Mitsche and Wormald in the case where the weights are bounded from above and from below. We establish the s…