4 papers · 1 filter
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…
A restless time-fractional multiclass queue
Nicos Georgiou, Enrico Scalas, Vladislav Vysotsky
We study a single-server priority queue with a finite number of classes, in which the arrivals follow a fractional Poisson process of index and the service completion…
Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation
Elnur Emrah, Nicos Georgiou, Janosch Ortmann
We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the inc…
The TASEP on Galton-Watson trees
Nina Gantert, Nicos Georgiou, Dominik Schmid
We study the totally asymmetric simple exclusion process (TASEP) on trees where particles are generated at the root. Particles can only jump away from the root, and they jump from…