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Stability and Instability of Steady States for a Branching Random Walk

Author

Listed:
  • Yaqin Feng

    (Ohio University)

  • Stanislav Molchanov

    (University of North Carolina at Charlotte
    Higher School of Economics)

  • Elena Yarovaya

    (Lomonosov Moscow State University)

Abstract

We consider the time evolution of a lattice branching random walk with local perturbations. Under certain conditions, we prove the Carleman type estimation for the moments of a particle subpopulation number and show the existence of a steady state.

Suggested Citation

  • Yaqin Feng & Stanislav Molchanov & Elena Yarovaya, 2021. "Stability and Instability of Steady States for a Branching Random Walk," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 207-218, March.
    • Handle: RePEc:spr:metcap:v:23:y:2021:i:1:d:10.1007_s11009-020-09791-0
    DOI: 10.1007/s11009-020-09791-0
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    References listed on IDEAS

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    1. 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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    1. Daria Balashova & Stanislav Molchanov & Elena Yarovaya, 2021. "Structure of the Particle Population for a Branching Random Walk with a Critical Reproduction Law," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 85-102, March.

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