Branching Random Walks With Several Sources-super-*

Elena B. Yarovaya

Mathematical Population Studies, 2013, vol. 20, issue 1, 14-26

Abstract: A continuous-time branching random walk on multidimensional lattices with a finite number of branching sources of three types leads to explicit conditions for the exponential growth of the total number of particles. These conditions are expressed in terms of the spectral characteristics of the operator describing the mean number of particles both at an arbitrary point and on the entire lattice.

Date: 2013
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DOI: 10.1080/08898480.2013.748571

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