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- W2101723786 abstract "We develop a criterion for transience for a general model of branching Markov chains. In the case of multi-dimensional branching random walk in random environment (BRWRE) this criterion becomes explicit. In particular, we show that Condition L of Comets and Popov [3] is necessary and sufficient for transience as conjectured. Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp. dies out locally." @default.
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- W2101723786 date "2008-01-01" @default.
- W2101723786 modified "2023-09-25" @default.
- W2101723786 title "A criterion for transience of multidimensional branching random walk in random environment" @default.
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- W2101723786 doi "https://doi.org/10.1214/ejp.v13-517" @default.
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