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The McKean martingale for the homogeneousR-D-systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

An analog of the McKean martingale is constructed for branching processes with a continuous phase space.

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References

  1. R. G. Safaryan, “R-D-systems and ?Irina? branching processes,”Ukr. Mat. Zh.,43, No. 2, 162–167 (1991).

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  2. R. G. Safaryan, “Branching diffusion processes and systems of differential reaction-diffusion equations,”Mat. Sb.,134, No. 4, 530–545 (1987).

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  3. B. A. Sevast'yanov,Branching Processes [in Russian], Nauka, Moscow (1971).

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  4. H. P. McKean, “Application of Brownian Motion to the Equation of Kolmogorov-Petrovskii-Piskunov,”Comm. Pure Appl. Math.,28, 323–331 (1975).

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Authors and Affiliations

  1. Yerevan Pedagogic Institute, Yerevan

    R. G. Safaryan

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  1. R. G. Safaryan
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1315–1319, September, 1993.

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Safaryan, R.G. The McKean martingale for the homogeneousR-D-systems. Ukr Math J 45, 1475–1480 (1993). https://doi.org/10.1007/BF01058647

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  • DOI: https://doi.org/10.1007/BF01058647

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