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Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions. (English) Zbl 0412.60065


MSC:

60H05 Stochastic integrals
60H20 Stochastic integral equations
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60F17 Functional limit theorems; invariance principles
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[2] Dawson, D., and Ivanoff, G.5 Branching Diffusions and Random Measures, to appear. · Zbl 0407.60087
[3] Durrett, R., An infinite particle system with additive interactions, to appear. · Zbl 0417.60098 · doi:10.2307/1426844
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[10] Parthasarathy, K. R., Probability Measures on Metric Space, New York: Academic Press (1969).
[11] Stroock, D.W., Diffusion processes associated with Levy generators, Z. Wahr. Verw. Geb.,B2 (1975), 209-244. · Zbl 0292.60122 · doi:10.1007/BF00532614
[12] Stroock, D.W. and Varadhan, S. R. S., Diffusion processes with boundary conditions, Comm.Pure. Appl.Math.,24 (1971) 147-225. · Zbl 0227.76131 · doi:10.1002/cpa.3160240206
[13] Dawson, D., Stochastic Evolution Equations and Related Measure Processes, J. Multi- variate Anal.,5 (1975), 1-52. · Zbl 0299.60050 · doi:10.1016/0047-259X(75)90054-8
[14] Dawson, D., The Critical Measure Diffusion Process, to appear. · Zbl 0343.60001 · doi:10.1007/BF00532877
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