Article ID Journal Published Year Pages File Type
1156984 Stochastic Processes and their Applications 2008 29 Pages PDF
Abstract

We prove a functional central limit theorem for the position of a tagged particle in the one-dimensional asymmetric simple exclusion process for hyperbolic scaling, starting from a Bernoulli product measure conditioned to have a particle at the origin. We also prove that the position of the tagged particle at time tt depends on the initial configuration, through the number of empty sites in the interval [0,(p−q)αt][0,(p−q)αt] divided by αα, on the hyperbolic time scale and on a longer time scale, namely N4/3N4/3.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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