Stochastic flows associated to coalescent processes II : stochastic differential equations
Annales de l'I.H.P. Probabilités et statistiques, Volume 41 (2005) no. 3, pp. 307-333.
@article{AIHPB_2005__41_3_307_0,
     author = {Bertoin, Jean and Le Gall, Jean-Fran\c{c}ois},
     title = {Stochastic flows associated to coalescent processes {II} : stochastic differential equations},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {307--333},
     publisher = {Elsevier},
     volume = {41},
     number = {3},
     year = {2005},
     doi = {10.1016/j.anihpb.2004.07.003},
     mrnumber = {2139022},
     zbl = {1119.60024},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2004.07.003/}
}
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Bertoin, Jean; Le Gall, Jean-François. Stochastic flows associated to coalescent processes II : stochastic differential equations. Annales de l'I.H.P. Probabilités et statistiques, Volume 41 (2005) no. 3, pp. 307-333. doi : 10.1016/j.anihpb.2004.07.003. http://archive.numdam.org/articles/10.1016/j.anihpb.2004.07.003/

[1] J. Bertoin, J.F. Le Gall, Stochastic flows associated to coalescent processes, Probab. Theory Related Fields 126 (2003) 261-288. | MR | Zbl

[2] A.M. Etheridge, An Introduction to Superprocesses, Univ. Lecture Ser., vol. 20, Amer. Math. Soc., Providence, 2000. | MR | Zbl

[3] S.N. Ethier, T.G. Kurtz, Markov Processes: Characterization and Convergence, Wiley, New York, 1986. | MR | Zbl

[4] T.E. Harris, Coalescing and noncoalescing stochastic flows in R 1 , Stochastic Process. Appl. 17 (1984) 187-210. | MR | Zbl

[5] J. Jacod, Calcul Stochastique et Problèmes de Martingales, Lecture Notes in Math., vol. 714, Springer, Berlin, 1979. | MR | Zbl

[6] O. Kallenberg, Canonical representations and convergence criteria for processes with interchangeable increments, Z. Wahrscheinlichkeitstheorie Verw. Gebiete 27 (1973) 23-36. | MR | Zbl

[7] I. Karatzas, S.E. Shreve, Brownian Motion and Stochastic Calculus, Springer, 1997. | MR | Zbl

[8] J.F.C. Kingman, The coalescent, Stochastic Process. Appl. 13 (1982) 235-248. | MR | Zbl

[9] Y. Le Jan, O. Raimond, Flows, coalescence and noise, Ann. Probab. 32 (2004) 1247-1315. | MR | Zbl

[10] P.A. Meyer, Un cours sur les intégrales stochastiques, in: Séminaire de Probabilités X, Lecture Notes Math., vol. 511, Springer, Berlin, 1976. | Numdam | MR | Zbl

[11] M. Möhle, S. Sagitov, A classification of coalescent processes for haploid exchangeable population models, Ann. Probab. 29 (2001) 1547-1562. | MR | Zbl

[12] J. Pitman, Coalescents with multiple collisions, Ann. Probab. 27 (1999) 1870-1902. | MR | Zbl

[13] S. Sagitov, The general coalescent with asynchronous mergers of ancester lines, J. Appl. Probab. 36 (1999) 1116-1125. | MR | Zbl

[14] J. Schweinsberg, Coalescents with simultaneous multiple collisions, Electr. J. Probab. 5-12 (2000) 1-50, http://www.math.washington.edu/~ejpecp/ejp5contents.html. | MR | Zbl

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