Localization for branching random walks in random environment

Yueyun Hu and Nobuo Yoshida

Stochastic Processes and their Applications, 2009, vol. 119, issue 5, 1632-1651

Abstract: We consider branching random walks in d-dimensional integer lattice with time-space i.i.d. offspring distributions. This model is known to exhibit a phase transition: If d>=3 and the environment is "not too random", then, the total population grows as fast as its expectation with strictly positive probability. If, on the other hand, d

Keywords: Branching; random; walk; Random; environment; Localization; Phase; transition (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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