Random walks systems with finite lifetime on $ \bbZ $
Probability
2016-01-27 v1
Abstract
We consider a non-homogeneous random walks system on in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters up to a total amount of jumps. We present necessary and sufficient conditions for the process to survive, which means that an infinite number of random walks become activated.
Cite
@article{arxiv.1509.06742,
title = {Random walks systems with finite lifetime on $ \bbZ $},
author = {Elcio Lebensztayn and Fabio Machado and Mauricio Zuluaga},
journal= {arXiv preprint arXiv:1509.06742},
year = {2016}
}
Comments
3 figures