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Random walks systems with finite lifetime on $ bbZ $

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 نشر من قبل Fabio Prates Machado
 تاريخ النشر 2015
  مجال البحث
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We consider a non-homogeneous random walks system on $bbZ$ in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters up to a total amount of $L$ jumps. We present necessary and sufficient conditions for the process to survive, which means that an infinite number of random walks become activated.

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