2.3k citations · 13.8k across the 135 of their papers we have counts for
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The Kasteleyn model and a cellular automaton approach to traffic flow
J. G. Brankov, V. B. Priezzhev, A. Schadschneider +1
We propose a bridge between the theory of exactly solvable models and the investigation of traffic flow. By choosing the activities in an apropriate way the dimer configurations of…
Cellular Automata For Traffic Flow: Analytical Results
Andreas Schadschneider, Michael Schreckenberg
We use analytical methods to investigate cellular automata for traffic flow. Two different mean-field approaches are presented, which we call site-oriented and car-oriented, respec…
Exact ground states of generalized Hubbard models
Jan de Boer, Andreas Schadschneider
We present a simple method for the construction of exact ground states of generalized Hubbard models in arbitrary dimensions. This method is used to derive rigorous criteria for th…