We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. Weâ€¦ (More)

We give an explicit construction of the increasing tree-valued process introduced by Abraham and Delmas using a random point process of trees and a grafting procedure. This random point process willâ€¦ (More)

We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. Weâ€¦ (More)

We study the asymptotic behavior af the number of cuts X(Tn) needed to isolate the root in a rooted binary random tree Tn with n leaves. We focus on the case of subtrees of the Continuum Random Treeâ€¦ (More)

In this thesis, we study continuum tree-valued processes. First, we define an abstract framework for these processes, by constructing a metric on the space of locally compact, complete R-trees,â€¦ (More)