Free Access
Issue
ESAIM: PS
Volume 15, 2011
Page(s) 372 - 389
DOI https://doi.org/10.1051/ps/2010006
Published online 05 January 2012
  1. R. Abraham and J.-F. Delmas, Fragmentation associated with Lévy processes using snake. Probab. Th. Rel. Fiel 141 (2008) 113–154. [CrossRef] [Google Scholar]
  2. R. Abraham, J.-F. Delmas and G. Voisin, Pruning a Lévy random continuum tree. preprint [Google Scholar]
  3. R. Abraham and L. Serlet, Poisson snake and fragmentation. Elect. J. Probab. 7 (2002) 1–15. [Google Scholar]
  4. D. Aldous, The continuum random tree II: an overview. Proc. Durham Symp. Stochastic Analysis. Cambridge univ. press edition (1990) 23–70. [Google Scholar]
  5. D. Aldous, The continuum random tree I. Ann. Probab. 19 (1991) 1–28. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed] [Google Scholar]
  6. D. Aldous, The continuum random tree III. Ann. Probab. 21 (1993) 248–289. [CrossRef] [MathSciNet] [Google Scholar]
  7. D. Aldous and J. Pitman, Inhomogeneous continuum trees and the entrance boundary of the additive coalescent. Probab. Th. Rel. Fields 118 (2000) 455–482. [CrossRef] [Google Scholar]
  8. D. Aldous and J. Piman, The standard additive coalescent. Ann. Probab. 26 (1998) 1703–1726. [CrossRef] [MathSciNet] [Google Scholar]
  9. J. Bertoin, Lévy processes. Cambridge University Press, Cambridge (1996). [Google Scholar]
  10. J. Bertoin, Random fragmentation and coagulation processes, Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge 102 (2006). [Google Scholar]
  11. D.A. Dawson, Measure-valued Markov processes, in École d'été de Probabilités de Saint-Flour 1991, Lect. Notes Math. Springer Verlag, Berlin 1541 (1993) 1–260. [Google Scholar]
  12. J.-F. Delmas, Height process for super-critical continuous state branching process. Markov Proc. Rel. Fields. 14 (2008) 309–326. [Google Scholar]
  13. T. Duquesne and J.-F. Le Gall, Random trees, Lévy processes and spatial branching processes 281. Astérisque (2002). [Google Scholar]
  14. T. Duquesne and J.-F. Le Gall, Probabilistic and fractal aspects of Lévy trees, Probab. Th. Rel. Fields 131 (2005) 553–603. [Google Scholar]
  15. T. Duquesne and M. Winkel, Growth of Lévy trees. Probab. Th. Rel. Fields 139 (2007) 313–371. [CrossRef] [Google Scholar]
  16. M. Jirina, Stochastic branching processes with continuous state space. Czech. Math. J. 83 (1958) 292–312. [Google Scholar]
  17. J. Lamperti, The limit of a sequence of branching processes. Z. Wahrscheinlichkeitstheorie Verw. Gebiete 7 (1967) 271–288. [CrossRef] [Google Scholar]
  18. J.-F. Le Gall, Spatial branching processes, random snakes and partial differential equations. Birkhäuser Verlag, Basel (1999). [Google Scholar]
  19. J.-F. Le Gall and Y. Le Jan, Branching processes in Lévy processes: the exploration process. Ann. Probab. 26 (1998) 213–252. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed] [Google Scholar]
  20. K.R. Parthasarathy, Probability measures on metric spaces. Probability and Mathematical Statistics 3, Academic, New York (1967). [Google Scholar]

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