290 citations · 601 across the 6 of their papers we have counts for
6 papers
Traffic flow on realistic road networks with adaptive traffic lights
Jan de Gier, Timothy M Garoni, Omar Rojas
We present a model of traffic flow on generic urban road networks based on cellular automata. We apply this model to an existing road network in the Australian city of Melbourne, u…
Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
Jan de Gier, Fabian H L Essler
We analyze the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process on a finite lattice and with the most…
Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
Jan de Gier, Fabian H L Essler
We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary con…
Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
Jan de Gier, Fabian H. L. Essler
We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary con…
Brauer loops and the commuting variety
Jan de Gier, Bernard Nienhuis
We observe that the degree of the commuting variety and other related varieties occur as coefficients in the leading eigenvector of an integrable loop model based on the Brauer alg…
The raise and peel model of a fluctuating interface
Jan de Gier, Bernard Nienhuis, Paul A. Pearce +1
We propose a one-dimensional nonlocal stochastic model of adsorption and desorption depending on one parameter, the adsorption rate. At a special value of this parameter, the model…