Busemann functions and the speed of a second class particle in the rarefaction fan

@article{Cator2010BusemannFA,
  title={Busemann functions and the speed of a second class particle in the rarefaction fan},
  author={Eric A. Cator and Leandro P. R. Pimentel},
  journal={Annals of Probability},
  year={2010},
  volume={41},
  pages={2401-2425}
}
In this paper we will show how the results found in [Probab. Theory Related Fields 154 (2012) 89–125], about the Busemann functions in last-passage percolation, can be used to calculate the asymptotic distribution of the speed of a single second class particle starting from an arbitrary deterministic configuration which has a rarefaction fan, in either the totally asymetric exclusion process or the Hammersley interacting particle process. The method will be to use the well-known last-passage… 

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