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On Infection Spreading and Competition between Independent Random Walks

   
@article{EJP197,
	author = {Irina Kurkova and Serguei Popov and M. Vachkovskaia},
	title = {On Infection Spreading and Competition between Independent Random Walks},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {9},
	year = {2004},
	keywords = {},
	abstract = {We study the models of competition and spreading of infection for infinite systems of independent random walks. For the competition model, we investigate the question whether one of the spins prevails with probability one. For the infection spreading, we give sufficient conditions for recurrence and transience (i.e., whether the origin will be visited by infected particles infinitely often a.s.).},
	pages = {no. 11, 293-315},
	issn = {1083-6489},
	doi = {10.1214/EJP.v9-197},    
        url = {http://ejp.ejpecp.org/article/view/197}}