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Asymptotics of two-point correlations in the multi-species q-TAZRP
Jeffrey Kuan, Zhengye Zhou · 2023-04-30 · via math.PR updates on arXiv.org

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

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