English

Stability and instability of steady states for a branching random walk

Probability 2019-03-18 v1

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.

Keywords

Cite

@article{arxiv.1903.06270,
  title  = {Stability and instability of steady states for a branching random walk},
  author = {Yaqin Feng and Stanislav Molchanov and Elena Yarovaya},
  journal= {arXiv preprint arXiv:1903.06270},
  year   = {2019}
}

Comments

12 pages