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References

Bertoin, Jean. Lévy processes. Cambridge Tracts in Mathematics, 121. Cambridge University Press, Cambridge, 1996. x+265 pp. ISBN: 0-521-56243-0 MR1406564 (98e:60117)

Bertoin, Jean; Le Gall, Jean-François. The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Probab. Theory Related Fields 117 (2000), no. 2, 249--266. MR1771663 (2001h:60150)

Bertoin, Jean; Le Gall, Jean-François. Stochastic flows associated to coalescent processes. Probab. Theory Related Fields 126 (2003), no. 2, 261--288. MR1990057 (2004f:60080)

Bertoin, Jean; Le Gall, Jean-François. Stochastic flows associated to coalescent processes II: Stochastic differential equations, Preprint (2004), available at http://www.proba.jussieu.fr/mathdoc/preprints/. Math. Review number not available.

Bolthausen, E.; Sznitman, A.-S. On Ruelle's probability cascades and an abstract cavity method. Comm. Math. Phys. 197 (1998), no. 2, 247--276. MR1652734 (99k:60244)

Bovier, A; Kurkova, I. Derrida's generalized random energy models 4: continuous-state branching and coalescents,  Preprint (2003), available at http://www.wias-berlin.de/people/bovier/files/bk04-good.pdf. Math. Review number not available.

Dawson, Donald A. Measure-valued Markov processes. École d'Été de Probabilités de Saint-Flour XXI---1991, 1--260, Lecture Notes in Math., 1541, Springer, Berlin, 1993. MR1242575 (94m:60101) 

Dawson, Donald A.; Hochberg, Kenneth J. Wandering random measures in the Fleming-Viot model. Ann. Probab. 10 (1982), no. 3, 554--580. MR0659528 (84i:92044)

Dawson, Donald A.; Perkins, Edwin A. Historical processes. Mem. Amer. Math. Soc. 93 (1991), no. 454, iv+179 pp. MR1079034 (92a:60145)

Donnelly, Peter; Kurtz, Thomas G. A countable representation of the Fleming-Viot measure-valued diffusion. Ann. Probab. 24 (1996), no. 2, 698--742. MR1404525 (98f:60162)

Donnelly, Peter; Kurtz, Thomas G. Particle representations for measure-valued population models. Ann. Probab. 27 (1999), no. 1, 166--205. MR1681126 (2000f:60108)

Duquesne, Thomas; Le Gall, Jean-François. Random trees, Lévy processes and spatial branching processes. Astérisque No. 281, (2002), vi+147 pp. MR1954248 (2003m:60239)

Durrett, Richard. Probability: theory and examples. Second edition. Duxbury Press, Belmont, CA, 1996. xiii+503 pp. ISBN: 0-534-24318-5 MR1609153 (98m:60001)

El Karoui, Nicole; Roelly, Sylvie. Propriétés de martingales, explosion et représentation de Lévy-Khintchine d'une classe de processus de branchement à valeurs mesures. (French) [Martingale properties, explosion and Levy-Khinchin representation of a class of measure-valued branching processes] Stochastic Process. Appl. 38 (1991), no. 2, 239--266. MR1119983 (92k:60194)

Etheridge, Alison; March, Peter. A note on superprocesses. Probab. Theory Related Fields 89 (1991), no. 2, 141--147. MR1110534 (92h:60080)

Ethier, Stewart N.; Kurtz, Thomas G. Markov processes. Characterization and convergence. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1986. x+534 pp. ISBN: 0-471-08186-8 MR0838085 (88a:60130)

Feller, William. An introduction to probability theory and its applications. Vol. II. John Wiley & Sons, Inc., New York-London-Sydney 1966 xviii+636 pp. MR0210154 (35 #1048)

Grey, D. R. Asymptotic behaviour of continuous time, continuous state-space branching processes. J. Appl. Probability 11 (1974), 669--677. MR0408016 (53 #11783)

Jiv rina, Miloslav. Stochastic branching processes with continuous state space. Czechoslovak Math. J. 8 (83) 1958 292--313. MR0101554 (21 #364)  

Kingman, J. F. C. The representation of partition structures. J. London Math. Soc. (2) 18 (1978), no. 2, 374--380. MR0509954 (80a:05018) 

Kingman, J. F. C. The coalescent. Stochastic Process. Appl. 13 (1982), no. 3, 235--248. MR0671034 (84a:60079)   

Lamperti, John. Continuous state branching processes. Bull. Amer. Math. Soc. 73 1967 382--386. MR0208685 (34 #8494)   

Lamperti, John. The limit of a sequence of branching processes. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 7 1967 271--288. MR0217893 (36 #982)

Le Gall, Jean-Francois; Le Jan, Yves. Branching processes in Lévy processes: the exploration process. Ann. Probab. 26 (1998), no. 1, 213--252. MR1617047 (99d:60096)

Möhle, M. Forward and backward diffusion approximations for haploid exchangeable population models. Stochastic Process. Appl. 95 (2001), no. 1, 133--149. MR1847095 (2002f:92021) 

J. Neveu. A continuous-state branching process in relation with the GREM model of spin glass theory.  Rapport interne no. 267, Ecole Polytechnique. Math. Review number not available.

Perkins, Edwin A. Conditional Dawson-Watanabe processes and Fleming-Viot processes. Seminar on Stochastic Processes, 1991 (Los Angeles, CA, 1991), 143--156, Progr. Probab., 29, Birkhäuser Boston, Boston, MA, 1992. MR1172149 (93h:60078)

Pitman, Jim. Coalescents with multiple collisions. Ann. Probab. 27 (1999), no. 4, 1870--1902. MR1742892 (2001h:60016)

Revuz, Daniel; Yor, Marc. Continuous martingales and Brownian motion. Third edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 293. Springer-Verlag, Berlin, 1999. xiv+602 pp. ISBN: 3-540-64325-7 MR1725357 (2000h:60050) 

Sagitov, Serik. The general coalescent with asynchronous mergers of ancestral lines. J. Appl. Probab. 36 (1999), no. 4, 1116--1125. MR1742154 (2001f:92019)

Schweinsberg, Jason. A necessary and sufficient condition for the $Lambda$-coalescent to come down from infinity. Electron. Comm. Probab. 5 (2000), 1--11 (electronic). MR1736720 (2001g:60025) 

Schweinsberg, Jason. Coalescent processes obtained from supercritical Galton-Watson processes. Stochastic Process. Appl. 106 (2003), no. 1, 107--139. MR1983046 (2004d:60222) 

Silverstein, M. L. A new approach to local times. J. Math. Mech. 17 1967/1968 1023--1054. MR0226734 (37 #2321) 


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