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The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates

The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates

In this paper we consider the $q$-deformed totally asymmetric zero range process ($q$-TAZRP), also known as the $q$-boson (stochastic) particle system, on the ${\mathbb Z}$ lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for …