期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2017
卷号：XIV
页码：299-325
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider last passage percolation (LPP) models with exponentiallydistributed random variables, which are linked to the totally asymmetric simpleexclusion process (TASEP). The competition interface for LPP was introduced andstudied in Ferrari and Pimentel (2005a) for cases where the corresponding exclusionprocess had a rarefaction fan. Here we consider situations with a shock anddetermine the law of the fluctuations of the competition interface around its deterministiclaw of large number position. We also study the multipoint distributionof the LPP around the shock, extending our one-point result of Ferrari and Nejjar(2015).
