q−Orthogonal dualities for asymmetric particle systems
q−Orthogonal dualities for asymmetric particle systems
We study a class of interacting particle systems with asymmetric interaction showing a self-duality property. The class includes the ASEP(q,θ), asymmetric exclusion process, with a repulsive interaction, allowing up to θ∈N particles in each site, and the ASIP(q,θ), θ∈R+, asymmetric inclusion process, that is its attractive counterpart. We extend to …