Convergence of Bi-measure R-trees and the Pruning

  title={Convergence of Bi-measure R-trees and the Pruning},
  author={GUILLAUME VOISIN and Anita Winter},
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
2 Citations
52 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 52 references

Poincar Probab

  • David Aldous, H JimPitman.Tree-valuedMarkovchainsderivedfromGalton
  • Statist., 34(5):637– 686,
  • 1998
Highly Influential
9 Excerpts

Random walks , capacities , and percolation on trees

  • Russel Lyons
  • Electron . Commun . Probab .
  • 2013


  • Romain Abraham, Jean-François Delmas. A continuum-tree-valued Markov process
  • of Probab., 40(3):1167–1211,
  • 2012

Poincaré Probab

  • Romain Abraham, Jean-François Delmas, Hui He. Pruning Galton-Watson trees, H tree-valuedMarkovprocess.Ann.Inst.
  • Statist., 48(3),
  • 2012
2 Excerpts

Similar Papers

Loading similar papers…