Abstract
A branching random walk (BRW) with continuous time and a finite number of branching sources located at points of a multidimensional lattice is considered. The definition of weakly supercritical BRWs, whose discrete spectrum contains a unique positive eigenvalue, is introduced. Conditions for a supercritical BRW to be weakly supercritical are determined.
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Original Russian Text © E.B. Yarovaya, 2015, published in Doklady Akademii Nauk, 2015, Vol. 463, No. 6, pp. 646–649.
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Yarovaya, E.B. The structure of the positive discrete spectrum of the evolution operator arising in branching random walks. Dokl. Math. 92, 507–510 (2015). https://doi.org/10.1134/S1064562415040316
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DOI: https://doi.org/10.1134/S1064562415040316