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A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments

   
@article{ECP1164,
	author = {Alexander Roitershtein},
	title = {A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {We consider a transient one-dimensional random walk $X_n$ in random environment having zero asymptotic speed. For a class of non-i.i.d. environments we show that $\log X_n / \log n$ converges in probability to a positive constant.},
	pages = {no. 25, 244-253},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1164},    
        url = {http://ecp.ejpecp.org/article/view/1164}}