Abstract

We consider a supercritical continuous-time branching random walk on a multidimensional lattice with finite number of particle generation sources of the same intensities without any restrictions on the variance of jumps of the underlying random walk. The effect of “limit coalescence” of eigenvalues is revealed for an arrangement of sources under which the pairwise distances between them go off to infinity. The effect of the arrangement of particle generation sources on the order of appearance of positive eigenvalues in the spectrum of the evolutionary operator with receding sources is revealed.

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