no. 5
A superprocess involving both branching and coalescing
Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 5, pp. 599-618. 
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     title = {A superprocess involving both branching and coalescing},
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Zhou, Xiaowen. A superprocess involving both branching and coalescing. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 5, pp. 599-618. doi : 10.1016/j.anihpb.2006.09.004. http://www.numdam.org/articles/10.1016/j.anihpb.2006.09.004/

[1] R. Arratia, Coalescing Brownian motions on the line, Ph.D. thesis, University of Wisconsin, Madison, 1979.

[2] R.W.R. Darling, Isotropic stochastic flows: a survey, in: Pinsky M., Wihstutz M. (Eds.), Diffusion Processes and Related Problems in Analysis, vol. 2, Birkhäuser, Boston, 1992, pp. 75-94. | MR | Zbl

[3] D.A. Dawson, Z.H. Li, Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions, Probab. Theory Related Fields 127 (1) (2003) 37-61. | MR | Zbl

[4] D.A. Dawson, Z.H. Li, H. Wang, Superprocesses with dependent spatial motion and general branching densities, Electron. J. Probab. 6 (25) (2001) 1-33. | MR | Zbl

[5] D.A. Dawson, Z.H. Li, X. Zhou, Superprocesses with coalescing Brownian spatial motion as large scale limits, J. Theoret. Probab. 17 (3) (2004) 673-692. | MR | Zbl

[6] A.M. Etheridge, An Introduction to Superprocesses, University Lecture Series, vol. 20, Amer. Math. Soc., 2000. | MR | Zbl

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

[8] J. Jacod, A.N. Shiryaev, Limit Theorems for Stochastic Processes, Springer-Verlag, Berlin, 1987. | MR | Zbl

[9] O. Kallenberg, Random Measures, Academic Press, New York, 1976. | MR | Zbl

[10] Y. Le Jan, O. Raimond, Flows, coalescence and noise, Ann. Probab. 32 (2) (2005) 1247-1315. | MR | Zbl

[11] Z. Ma, K. Xiang, Superprocesses of stochastic flows, Ann. Probab. 29 (1) (2001) 317-343. | MR | Zbl

[12] E. Perkins, Dawson-Watanabe superprocesses and measure-valued diffusions, in: Lectures on Probability Theory and Statistics, Saint-Flour, 1999, Lecture Notes in Math., vol. 1781, Springer, Berlin, 2002, pp. 125-329. | Zbl

[13] D. Revuz, M. Yor, Continuous Martingales and Brownian Motion, Springer, Berlin, 1991. | MR | Zbl

[14] G. Skoulakis, R.J. Adler, Superprocesses over a stochastic flow, Ann. Appl. Probab. 11 (2) (2002) 488-543. | MR | Zbl

[15] F. Soucaliuc, B. Tóth, W. Werner, Reflection and coalescence between independent one-dimensional Brownian paths, Ann. Inst. H. Poincaré Probab. Statist. 36 (4) (2000) 509-545. | Numdam | MR | Zbl

[16] B. Tóth, W. Werner, The True self-repelling motion, Probab. Theory Related Fields 111 (3) (1997) 375-452. | MR | Zbl

[17] R. Tribe, The behavior of superprocesses near extinction, Ann. Probab. 20 (1) (1992) 286-311. | MR | Zbl

[18] J. Xiong, X. Zhou, On the duality between coalescing Brownian motions, Canad. J. Math. 57 (1) (2005) 204-224. | MR | Zbl

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