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References
R.A. ADAMS-Sobolev Spaces. Academic Press, 1975.
D. ALDOUS-Stopping times and tightness, Ann. Probability 6 (1978), pp. 335–340.
A.M. BORDE-Modèles demographiques stochastiques. Age d'une population. Rapport interne no 137-Centre de Mathématiques Appliquées-Ecole Polytechnique.
D. DAWSON-Geostochastic Calculus, Canad, s. statist. 6 (1978), pp. 143–168.
D. DAWSON-Sistemas de poblacion con distribuciones espaciales estocasticas. Proceedings Colloquio de Mathematicas del CIEA-IPN. Editors: L.G. Gorostiza and O. Hernandez Lerma-Mexico-1979.
D. DAWSON and L. GOROSTIZA-Limit theorems for supercritical branching random fields. Math. Nach. 119 (1984), pp. 19–46.
B. GRIGELIONIS-On the martingale characterization of stochastic processes with conditionally independent increments. Lit. Math. J. 15 (1975), pp. 53–60.
A. JOFFE, M. METIVIER-Weak convergence of Sequences of Semimartingales with Applications to Multiple branching processes. Advances in Applied Probability 1986.
Th. KURTZ-Approximation of Population Processes. CBMS-NSF no 36, 1981.
M. METIVIER-Convergence faible et principe d'invariance pour des martingales à valeurs dans des espaces de Sobolev. Ann. Inst. Henri Poincaré 20-no 4 (1984), pp. 329–348.
P.A. MEYER-Un cours sur les intégrales stochastiques-Séminaire de Proba X. Lecture Notes in Math. 511-Springer 1976.
K. OELSCHLÄGER-Grenzwertzätze für zwei Modelle von zufälligen Zeitentwicklungen für schwach miteinander weckselvirkender Teilchen. Thèse Heidelberg (1983).
R. REBOLLEDO-La méthode des martingales appliquée à la convergence en loi des processus. Mémoires de la S.M.F. t. 62 (1979).
STROOCK-VARADHAN-Multidimensional diffusion Processes. Berlin-Heidelberg-New York 1979.
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Metivier, M. (1987). Weak convergence of measure valued processes using sobolev-imbedding techniques. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications. Lecture Notes in Mathematics, vol 1236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072889
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DOI: https://doi.org/10.1007/BFb0072889
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