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Positively and negatively excited random walks on integers, with branching processes

   
@article{EJP572,
	author = {Elena Kosygina and Martin Zerner},
	title = {Positively and negatively excited random walks on integers, with branching processes},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {13},
	year = {2008},
	keywords = {Central limit theorem; excited random walk; law of large numbers; positive and negative cookies; recurrence; renewal structure; transience.},
	abstract = {We consider excited random walks on the integers with a bounded number of i.i.d. cookies per site which may induce drifts both to the left and to the right. We extend the criteria for recurrence and transience by M. Zerner and for positivity of speed by A.-L. Basdevant and A. Singh to this case and also prove an annealed central limit theorem. The proofs are based on results from the literature concerning branching processes with migration and make use of a certain renewal structure.},
	pages = {no. 64, 1952-1979},
	issn = {1083-6489},
	doi = {10.1214/EJP.v13-572},    
        url = {http://ejp.ejpecp.org/article/view/572}}