English

Steady states of lattice population models with immigration

Probability 2018-11-21 v2

Abstract

We consider the time evolution of the lattice subcritical Galton-Watson model with immigration. We prove Carleman type estimation for the cumulants in the simple case (binary splitting) and show the existence of a steady state. We also present the formula of the limiting distribution in a particular solvable case.

Keywords

Cite

@article{arxiv.1808.05673,
  title  = {Steady states of lattice population models with immigration},
  author = {Elena Chernousova and Yaqin Feng and Stanislav Molchanov and Joseph Whitmeyer},
  journal= {arXiv preprint arXiv:1808.05673},
  year   = {2018}
}

Comments

Need to work on some other crucial part