6 papers
Branching Random Walks in a Random Killing Environment with a Single Reproduction Source
Vladimir Kutsenko, Stanislav Molchanov, Elena Yarovaya
We consider a continuous-time branching random walk on in a random non homogeneous environment. Particles can walk on the lattice points or disappear with random inten…
Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point
E. Filichkina, E. Yarovaya
We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite numb…
Symmetric Branching Random Walks in Random Media: Comparing Theoretical and Numerical Results
Kutsenko Vladimir, Elena Yarovaya
We consider a continuous-time branching random walk on a multidimensional lattice in a random branching medium. It is theoretically known that, in such branching random walks, larg…
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…
Structure of the particle population for a branching random walk with a critical reproduction law
Daria Balashova, Stanislav Molchanov, Elena Yarovaya
We consider a continuous-time symmetric branching random walk on the -dimensional lattice, , and assume that at the initial moment there is one particle at every lattice…
Operator Equations of Branching Random Walks
E. Yarovaya
Consideration is given to the continuous-time supercritical branching random walk over a multidimensional lattice with a finite number of particle generation sources of the same in…