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On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment

   
@article{ECP1130,
	author = {Firas Rassoul-Agha},
	title = {On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {We prove a weak version of the law of large numbers for multi-dimensional finite range random walks in certain mixing elliptic random environments. This already improves previously existing results, where a law of large numbers was known only under strong enough transience. We also prove that for such walks the zero-one law implies a law of large numbers.},
	pages = {no. 5, 36-44},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1130},    
        url = {http://ecp.ejpecp.org/article/view/1130}}