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A previous paper by the authors found explicit contour integral formulas forcertain joint moments of the multi-species q-TAZRP (totally asymmetric zerorange process), using algebraic methods. These contour integral formulas have a"pseudo-factorized" form which makes asymptotic analysis simpler. In this briefnote, we use those contour integral formulas to find the asymptotics of thetwo-point correlations. As expected, the term arising from the"shift-invariance" makes a non-trivial asymptotic contribution.

Asymptotics of two-point correlations in the multi-species q-TAZRP