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A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment

   
@article{ECP1060,
	author = {Martin Zerner},
	title = {A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {7},
	year = {2002},
	keywords = {Random walk in random environment, RWRE,law of large numbers.},
	abstract = {We prove that random walks in i.i.d. random environments which oscillate in a given direction have velocity zero with respect to that direction. This complements existing results thus giving a general law of large numbers  under the only assumption of a   certain zero-one law, which is known to hold if the dimension is two.},
	pages = {no. 19, 191-197},
	issn = {1083-589X},
	doi = {10.1214/ECP.v7-1060},    
        url = {http://ecp.ejpecp.org/article/view/1060}}