How to cite item

Directed random walk on the backbone of an oriented percolation cluster

   
@article{EJP2302,
	author = {Matthias Birkner and Jiri Cerny and Andrej Depperschmidt and Nina Gantert},
	title = {Directed random walk on the backbone of an oriented percolation cluster},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {Random walk, dynamical random environment, oriented percolation, supercritical cluster, central limit theorem in random environment},
	abstract = {We consider a directed random walk on the backbone of the infinite cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the "ancestral lineage'' of an individual in the stationary discrete-time contact process. We prove a law of large numbers and an annealed central limit theorem (i.e., averaged over the realisations of the cluster) using a regeneration approach. Furthermore, we obtain a quenched central limit theorem (i.e. for almost any realisation of the cluster) via an analysis of joint renewals of two independent walks on the same cluster.
},
	pages = {no. 80, 1-35},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2302},    
        url = {http://ejp.ejpecp.org/article/view/2302}}