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math.PR2026
Hydrodynamic limits for TASEP with space-time discontinuities
Jacob Butt, Nicos Georgiou, Enrico Scalas
We develop a hydrodynamic theory for a height-dependent version of the totally asymmetric simple exclusion process in which the jump rate at a growth site is sampled from a macrosc…
math.PR2022
Queuing models with Mittag-Leffler inter-event times
Jacob Butt, Nicos Georgiou, Enrico Scalas
We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue in a different way. Inter-event times in all models are Mittag-Leffl…