Geodesic
The monotonicity of the probability of return into the source in models of branching random walks
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2010), pp. 44-47

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The paper deals with two models of a branching random walk on a multidimensional lattice with birth and death of particles at a single site, the source of branching. In the first model the underlying random walk is assumed to be symmetric. In the second one an additional parameter is introduced to intensify artificially 
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     author = {E. B. Yarovaya},
     title = {The monotonicity of the probability of return into the source in models of branching random walks},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {44--47},
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E. B. Yarovaya. The monotonicity of the probability of return into the source in models of branching random walks. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2010), pp. 44-47. http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a8/