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Publication - Dr Marton Balazs

    q-Zero Range has Random Walking Shocks


    Balazs, M, Duffy, L & Pantelli, D, 2019, ‘q-Zero Range has Random Walking Shocks’. Journal of Statistical Physics, vol 174., pp. 958-971


    ... but no other surprises in the zero range world. We check all nearest neighbour 1-dimensional asymmetric zero range processes for random walking product shock measures as demonstrated already for a few cases in the literature. We find the totally asymmetric version of the celebrated q-zero range process as the only new example besides an already known model of doubly infinite occupation numbers and exponentially increasing jump rates. We also examine the interaction of shocks, which appears somewhat more involved for q-zero range than in the already known cases.

    Full details in the University publications repository