41 citations · 67 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2007★ 26 cited
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry
A. M. Povolotsky, V. B. Priezzhev
Using the Bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ri…
cond-mat.stat-mech2006★ 41 cited
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update
A. M. Povolotsky, V. B. Priezzhev
We consider the totally asymmetric exclusion process in discrete time with the parallel update. Constructing an appropriate transformation of the evolution operator, we reduce the…