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Random walk in random environment in a two-dimensional stratified medium with orientations

  
@article{EJP2459,
	author = {Alexis Devulder and Françoise Pène},
	title = {Random walk in random environment in a two-dimensional stratified medium with orientations},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {random walk on randomly oriented lattices; random walk in random environment; random walk in random scenery; functional limit theorem; transience},
	abstract = {We consider a model of random walk in ${\mathbb Z}^2$ with (fixed or random) orientation of the horizontal lines (layers) and with non constant iid probability to stay on these lines. We prove the transience of the walk for any fixed orientations under general hypotheses. This contrasts with the model of Campanino and Petritis, in which probabilities to stay on these lines are all equal. We also establish a result of convergence in distribution for this walk with suitable normalizations under more precise assumptions. In particular, our model proves to be, in many cases, even more superdiffusive than the random walks introduced by Campanino and Petritis.},
	pages = {no. 18, 1-23},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2459},    
        url = {http://ejp.ejpecp.org/article/view/2459}}