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The Stationary Measure of a 2-type Totally Asymmetric Exclusion Process

Probability 2007-05-23 v1 Combinatorics

Abstract

We give a combinatorial description of the stationary measure for a totally asymmetric exclusion process (TASEP) with second class particles, on either Z or on the cycle Z_N. The measure is the image by a simple operation of the uniform measure on some larger finite state space. This reveals a combinatorial structure at work behind several results on the TASEP with second class particles.

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Cite

@article{arxiv.math/0501005,
  title  = {The Stationary Measure of a 2-type Totally Asymmetric Exclusion Process},
  author = {Omer Angel},
  journal= {arXiv preprint arXiv:math/0501005},
  year   = {2007}
}

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13 pages