169 citations · 1.3k across the 50 of their papers we have counts for
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A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive traffic signal systems
Lele Zhang, Timothy M. Garoni, Jan de Gier
Using a stochastic cellular automaton model for urban traffic flow, we study and compare Macroscopic Fundamental Diagrams (MFDs) of arterial road networks governed by different typ…
Multiple integral formula for the off-shell six vertex scalar product
Jan de Gier, Wellington Galleas, Mark Sorrell
We write a multiple integral formula for the partition function of the Z-invariant six vertex model and demonstrate how it can be specialised to compute the norm of Bethe vectors.…
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is
Nicholas R. Beaton, Mireille Bousquet-Mélou, Jan de Gier +2
In 2010, Duminil-Copin and Smirnov proved a long-standing conjecture of Nienhuis, made in 1982, that the growth constant of self-avoiding walks on the hexagonal (a.k.a. honeycomb)…
Relaxation rate of the reverse biased asymmetric exclusion process
Jan de Gier, Caley Finn, Mark Sorrell
We compute the exact relaxation rate of the partially asymmetric exclusion process with open boundaries, with boundary rates opposing the preferred direction of flow in the bulk. T…
Current large deviation function for the open asymmetric simple exclusion process
Jan de Gier, Fabian H. L. Essler
We consider the one dimensional asymmetric exclusion process with particle injection and extraction at two boundaries. The model is known to exhibit four distinct phases in its sta…