文章基本信息

标题：The quenched limiting distributions of a one-dimensional random walk in random scenery
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作者：Guillotin-Plantard, Nadine ; Hu, Yueyun ; Schapira, Bruno 等
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2013
卷号：18
页码：1-7
DOI：10.1214/ECP.v18-2918
语种：English
出版社：Electronic Communications in Probability
摘要：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.
关键词：Random walk in random scenery; Weak limit theorem; Law of the iterated logarithm; Brownian motion in Brownian Scenery; Strong approximation;60F05; 60G52