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Branching Random Walks With Several Sources-super-

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  • ELENA B. YAROVAYA

Abstract

A continuous-time branching random walk on multidimensional lattices with a finite number of branching sources of three types leads to explicit conditions for the exponential growth of the total number of particles. These conditions are expressed in terms of the spectral characteristics of the operator describing the mean number of particles both at an arbitrary point and on the entire lattice.

Suggested Citation

  • Elena B. Yarovaya, 2013. "Branching Random Walks With Several Sources-super-," Mathematical Population Studies, Taylor & Francis Journals, vol. 20(1), pages 14-26, March.
    • Handle: RePEc:taf:mpopst:v:20:y:2013:i:1:p:14-26
    DOI: 10.1080/08898480.2013.748571
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    Cited by:

    1. Elena Filichkina & Elena Yarovaya, 2024. "Branching Random Walks on $$\mathbb {Z}$$ Z with One Particle Generation Center and Symmetrically Located Absorbing Sources," Methodology and Computing in Applied Probability, Springer, vol. 26(3), pages 1-16, September.
    2. Elena Filichkina & Elena Yarovaya, 2023. "Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point," Mathematics, MDPI, vol. 11(7), pages 1-16, March.
    3. Stanislav Molchanov & Joseph Whitmeyer, 2017. "Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles," Mathematical Population Studies, Taylor & Francis Journals, vol. 24(3), pages 147-160, July.

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