TASEP and Planar Binary Trees: A Combinatorial Approach
classification
🧮 math.CO
cond-mat.stat-mech
keywords
binarycatalancombinatorialplanarstatestationarytaseptrees
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We give a simple explanation why the stationary state of the 1D TASEP model with open boundaries is related to the Catalan numbers. Our construction is based on planar binary trees and provides a combinatorial solution of the stationary state. We discuss the relation to Catalan tableaux approaches in an appendix.
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