Asymptotics of two-point correlations in the multi-species q-TAZRP
Probability
2024-03-14 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2305.00321,
title = {Asymptotics of two-point correlations in the multi-species q-TAZRP},
author = {Jeffrey Kuan and Zhengye Zhou},
journal= {arXiv preprint arXiv:2305.00321},
year = {2024}
}
Comments
An accessible version of this PDF is available on the first author's webpage: https://math.tamu.edu/~jkuan/arXiv-2305.00321.html Version 2 updates the "accessibility statement" (no mathematical changes)