Poisson snake and fragmentation

Electronic Journal of Probability

Volumn 7, Issue , 2002, Pages 1-15

  Abraham, Romain ^a   Serlet, Laurent ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Brownian snake; Coalescence; Fragmentation; Path valued process; Percolation; Poisson process; Self similarity critical probability

Indexed keywords

EID: 10644245695     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v7-116     Document Type: Article

References (12)

1. Abraham R., Serlet L. (2001) Representations of the Brownian snake with drift. Stochastics and Stochastics reports, to appear.
2. Aldous D.J. (1993) The continuum random tree III. Ann. Probab. 21, 248-289.
3. Aldous D.J. (1993) Tree based models for random distribution of mass. J. Statist. Phys. 73, 625-641.
4. Aldous D.J., Pitman J. (1998) The standard additive coalescent. Ann. Probab. 26, 1703-1726.
5. Bertoin J. (2001) Self-similar fragmentations. Ann. Inst. Henri Poincare to appear.
6. Blumental R.M. (1992) Excursions of Markov processes. Birkhauser.
7. Bertoin J., Le Gall J.F., Le Jan Y. (1997) Spatial branching processes and subordination. Canad. J. of Math. 49, 24-54.
8. Dynkin E.B., Kuznetsov S.E. (1995) Markov snakes and superprocesses. Probab. Th. Rel. Fields 103, 433-473.
9. Le Gall J.F. (1993) A class of path-valued Markov processes and its applications to superprocesses. Probab. Th. Rel. Fields 95, 25-46.
10. Le Gall J.F. (1994) A path-valued Markov process and its connections with partial differential equations. Proceedings in First European Congress of Mathematics, Volume vol II, 185-212, Birkhauser, Boston.
11. Revuz D., Yor M. Continuous martingales and stochastic calculus. Third edition. Springer Verlag. [Wa] Warren J. The noise made by a Poisson snake. Preprint.
12. Watanabe S. (1997) Branching diffusions (superdiffusions) and random snakes. Trends in Prob. Relat. Analysis, Proc. SAP’96, World Scientific, 289-304.