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math-ph2010★ 6 cited
Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems
Eunghyun Lee
This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the…
math-ph2010★ 11 cited
Distribution of a particle's position in the ASEP with the {alternating} initial condition
Eunghyun Lee
In this paper we give the distribution of the position of the particle in the asymmetric simple exclusion process (ASEP) with the alternating initial condition. That is, we find $\…