The stationary measure of a 2-type totally asymmetric exclusion process

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The stationary measure of a 2-type totally asymmetric exclusion process

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 ZN . 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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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2006

ISSN: 0097-3165

DOI: 10.1016/j.jcta.2005.05.004