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Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction

   
@article{EJP655,
	author = {Mathew Joseph},
	title = {Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {random walk in random environment; central limit theorem; invariance principle; Green function},
	abstract = {We consider an i.i.d. random environment with a strong form of transience on the two dimensional integer lattice. Namely, the walk always moves forward in the y-direction. We prove an invariance principle for the quenched expected position of the random walk indexed by its level crossing times. We begin with a variation of the Martingale Central Limit Theorem. The main part of the paper checks the conditions of the theorem for our problem.},
	pages = {no. 44, 1268-1289},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-655},    
        url = {http://ejp.ejpecp.org/article/view/655}}