Poissonian Approximation for the Tagged Particle in Asymmetric Simple Exclusion

@inproceedings{Ferrari1996PoissonianAF,
  title={Poissonian Approximation for the Tagged Particle in Asymmetric Simple Exclusion},
  author={Pablo A. Ferrari and L. R. G. Fontes},
  year={1996}
}
We consider the position of a tagged particle in the one-dimensional asymmetric nearest-neighbor simple exclusion process. Each particle attempts to jump to the site to its right at rate p and to the site to its left at rate q. The jump is realized if the destination site is empty. We assume p > q. The initial distribution is the product measure with density 2, conditioned to have a particle at the origin. We call X, the position at time t of this particle. Using a result recently proved by the… CONTINUE READING

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