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The quenched limiting distributions of a one-dimensional random walk in random scenery

   
@article{ECP2918,
	author = {Nadine Guillotin-Plantard and Yueyun Hu and Bruno Schapira},
	title = {The quenched limiting distributions of a one-dimensional random walk in random scenery},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Random walk in random scenery; Weak limit theorem; Law of the iterated logarithm; Brownian motion in Brownian Scenery; Strong approximation},
	abstract = {For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen's functional law of iterated logarithm. As a consequence, conditioned on the random scenery, the one dimensional RWRS does not converge in law, in contrast with the multi-dimensional case.},
	pages = {no. 85, 1-7},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2918},    
        url = {http://ecp.ejpecp.org/article/view/2918}}