The \(q\)-Hahn boson process and \(q\)-Hahn TASEP. (English) Zbl 1335.82018
This paper provides extensions of the \(q\)-Hahn boson process and the \(q\)-Hahn TASEP (totally asymmetric simple exclusion process) and exhibits some features of their mutual relation. A Bethe ansatz is used to compute the expectations of a family of observables of the \(q\)-Hahn TASEP, and a Fredholm determinant formula is proven for the distribution of the location of any given particle.
Reviewer: Guy Jumarie (Montréal)
MSC:
82C22 | Interacting particle systems in time-dependent statistical mechanics |
82C23 | Exactly solvable dynamic models in time-dependent statistical mechanics |
60J05 | Discrete-time Markov processes on general state spaces |