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paper

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

arXiv:math/0501005

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.

13 pages