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math.PR2021
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…
math.PR2019
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…
math.PR2019
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…