TASEP and Planar Binary Trees: A Combinatorial Approach
arXiv:1404.3915
Abstract
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.
8 pages