4 papers · 2 filters
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…
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…