Stability and instability of steady states for a branching random walk

Yaqin Feng; Stanislav Molchanov; Elena Yarovaya

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arXiv · 1903.06270

Stability and instability of steady states for a branching random walk

Yaqin Feng·Stanislav Molchanov·Elena Yarovaya

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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.

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Yaqin Feng, Stanislav Molchanov, Elena Yarovaya. 2019-03-14. Stability and instability of steady states for a branching random walk. https://arxiv.org/abs/1903.06270

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