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Xiong, Jie; Zhou, Xiaowen. On the Duality between Coalescing Brownian Motions. Canadian journal of mathematics, Tome 57 (2005) no. 1, pp. 204-224. doi: 10.4153/CJM-2005-009-2
@article{10_4153_CJM_2005_009_2,
author = {Xiong, Jie and Zhou, Xiaowen},
title = {On the {Duality} between {Coalescing} {Brownian} {Motions}},
journal = {Canadian journal of mathematics},
pages = {204--224},
year = {2005},
volume = {57},
number = {1},
doi = {10.4153/CJM-2005-009-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2005-009-2/}
}
TY - JOUR AU - Xiong, Jie AU - Zhou, Xiaowen TI - On the Duality between Coalescing Brownian Motions JO - Canadian journal of mathematics PY - 2005 SP - 204 EP - 224 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2005-009-2/ DO - 10.4153/CJM-2005-009-2 ID - 10_4153_CJM_2005_009_2 ER -
[1] [1] Arratia, R. A., Coalescing Brownian motions on the line. PhD thesis, University of Wisconsin-Madison, 1979. Google Scholar
[2] [2] Dawson, D. A., Li, Z. H. and Wang, H., Superprocesses with dependent spatial motion and general branching densities. Electron. J. Probab. 6 (2001), 1–33. Google Scholar
[3] [3] Dawson, D. A., Li, Z. H. and Zhou, X., Superprocesses with coalescing Brownian spatial motion as large scale limits. to appear in J. Theo. Probab. Google Scholar
[4] [4] Dawson, D. A. and Perkins, E., Measure-valued processes and renormalization of branching particle systems. In: Stochastic Partial Differential Equations: Six Perspectives (R. A. Carmona and Rozovskii, B., eds.), Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 1999, pp. 45–106. Google Scholar
[5] [5] Donnelly, P., Evans, S. N., Fleischmann, K., T. G. Kurtz and Zhou, X., Continuum-sites stepping-stone models, coalescing exchangeable partitions, and random trees. Ann. Probab. 28 (2000), 1063–1110. Google Scholar
[6] [6] Ethier, S. N. and Kurtz, T. G., Markov Processes: Characterization and Convergence.Wiley, New York, 1986. Google Scholar
[7] [7] Evans, S. N., Coalescing Markov labeled partitions and a continuous sites genetics model with infinitely many types. Ann. Inst. H. Poincaré Probab. Statist. 33 (1997), 339–358. Google Scholar
[8] [8] Harris, T. E., Coalescing and noncoalescing stochastic flows i. R1. Stoch. Process. Appl. 17 (1984), 187–210. Google Scholar
[9] [9] Jacod, J. and Shiryaev, A. N., Limit Theorems for Stochastic Processes. Springer-Verlag, Berlin, 1987. Google Scholar
[10] [10] Liggett, T. M., Interacting Particle Systems. Springer-Verlag, New York, 1985. Google Scholar
[11] [11] Meyer, P. A., Probability and Potentials. Blaisdell Publishing Company, Toronto, 1966. Google Scholar
[12] [12] Perkins, E., Dawson-Watanabe Superprocesses and Measure-valued Diffusions. Lectures on probability theory and statistics, Lecture Notes in Math., 1781, Springer-Verlag, Berlin, 2002, pp. 125–324. Google Scholar
[13] [13] Soucaliuc, F., Tóth, B. and Werner, W., Reflection and coalescence between independent one-dimensional Brownian paths. Ann. Inst. H. Poincaré Probab. Statist. 36(2000) 509–545. Google Scholar
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