Random walks systems with finite lifetime on $ \bbZ $

Elcio Lebensztayn; Fabio Machado; Mauricio Zuluaga

doi:10.1007/s10955-015-1418-3

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arXiv · 1509.06742

Random walks systems with finite lifetime on $ \bbZ $

Elcio Lebensztayn·Fabio Machado·Mauricio Zuluaga

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Abstract

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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Elcio Lebensztayn, Fabio Machado, Mauricio Zuluaga. 2015-09-22. Random walks systems with finite lifetime on $ \bbZ $. https://doi.org/10.1007/s10955-015-1418-3

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