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Central Limit Theorem for Branching Random Walks in Random Environment

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 نشر من قبل Nobuo Yoshida
 تاريخ النشر 2007
  مجال البحث فيزياء
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 تأليف Nobuo Yoshida




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We consider branching random walks in $d$-dimensional integer lattice with time-space i.i.d. offspring distributions. When $d ge 3$ and the fluctuation of the environment is well moderated by the random walk, we prove a central limit theorem for the density of the population, together with upper bounds for the density of the most populated site and the replica overlap. We also discuss the phase transition of this model in connection with directed polymers in random environment.



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