4 papers
Stability and instability of steady states for a branching random walk
Yaqin Feng, Stanislav Molchanov, Elena Yarovaya
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 par…
Probabilistic approach to a cell growth model
Gregory Derfel, Yaqin Feng, Stanislav Molchanov
We consider the time evolution of the supercritical Galton-Watson model of branching particles with extra parameter (mass). In the moment of the division the mass of the particle (…
Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration
Elena Chernousova, Yaqin Feng, Stanislav Molchanov +1
We consider the subcritical contact branching random walk on Zd in continuous time with the arbitrary number of offspring and with immigration. We prove the existence of the steady…
Steady states of lattice population models with immigration
Elena Chernousova, Yaqin Feng, Stanislav Molchanov +1
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 split…