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math.CO2015
LGV proof of a determinantal theorem for TASEP probabilities
Olya Mandelshtam
The Totally Asymmetric Simple Exclusion Process (TASEP) is a non-equilibrium particle model on a finite one-dimensional lattice with open boundaries. In our earlier paper, we obtai…
math.CO2015
Multi-Catalan Tableaux and the Two-Species TASEP
Olya Mandelshtam
The goal of this paper is to provide a combinatorial expression for the steady state probabilities of the two-species PASEP. In this model, there are two species of particles, one…