Asymptotic Behavior of the Mean Number of Particles for a Branching Random Walk on the Lattice Zd with Periodic Sources of Branching
We consider a continuous-time branching random walk on ℤ d with birth and death of particles at a periodic set of points (sources of branching). Spectral properties of the evolution operator of the mean number of particles are studied. We derive a representation of the mean value of particle number in a form of asymptotic series.
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