Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156984 | Stochastic Processes and their Applications | 2008 | 29 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Patrícia Gonçalves,