Convergence of Bi-measure R-trees and the Pruning

@inproceedings{VOISIN2013ConvergenceOB,
  title={Convergence of Bi-measure R-trees and the Pruning},
  author={GUILLAUME VOISIN and Anita Winter},
  year={2013}
}
In [AP98b] a tree-valued Markov chain is derived by pruning off more and more subtrees along the edges of a Galton-Watson tree. More recently, in [AD12], a continuous analogue of the tree-valued pruning dynamics is constructed along Lévy trees. In the present paper, we provide a new topology which allows to link the discrete and the continuous dynamics by considering them as instances of the same strong Markov process with different initial conditions. We construct this pruning process on the… CONTINUE READING
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