54 citations · 109 across the 7 of their papers we have counts for
7 papers
Analysis of the asymptotic density of endogamous diploid cellular automata
Henryk Fukś, Nazim Fatès
We investigate the asymptotic behaviour of diploid Elementary Cellular Automata (ECA), that is, the stochastic mixtures between two ECAs. In this model, each cell independently app…
Critical behavior of number-conserving cellular automata with nonlinear fundamental diagrams
Henryk Fuks
We investigate critical properties of a class of number-conserving cellular automata (CA) which can be interpreted as deterministic models of traffic flow with anticipatory driving…
Convergence to equilibrium in a class of interacting particle systems evolving in discrete time
Henryk Fuks, Nino Boccara
We conjecture that for a wide class of interacting particle systems evolving in discrete time, namely conservative cellular automata with piecewise linear flow diagram, relaxation…
Critical behavior of a cellular automaton highway traffic model
N. Boccara, H. Fukś
We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking…
Exact results for deterministic cellular automata traffic models
Henryk Fuks
We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of bloc…
Exact results for deterministic cellular automata traffic models
Henryk Fuks
We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of bloc…