11 citations · 74 across the 13 of their papers we have counts for
13 papers
Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration
Eunghyun Lee, Zhanibek Tokebayev
In this paper, we consider the two-species asymmetric simple exclusion process consisting of first-class particles and one second-class particle. We assume that the second-cl…
Integrability of the multi-species TASEP with species-dependent rates
Eunghyun Lee
Assume that each species has its own jump rate in the multi-species totally asymmetric simple exclusion process. We show that this model is \textit{integrable} in the sen…
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles
Eunghyun Lee, Temirlan Raimbekov
It has been known that the transition probability of the single species ASEP with particles is expressed as a sum of -fold contour integrals which are related to permut…
Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process
Eunghyun Lee
We find the formulas of the transition probabilities of the -particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are…
Some conditional probabilities in the TASEP with second class particles
Eunghyun Lee
In this paper we consider the TASEP with second class particles with the initial order is such that first class particles are located to the left of second class particle…
On the TASEP with Second Class Particles
Eunghyun Lee
In this paper we study some conditional probabilities for the totally asymmetric simple exclusion processes (TASEP) with second class particles. To be more specific, we consider a…