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A non-ergodic probabilistic cellular automaton with a unique invariant measure
Probabilistic cellular automaton interacting particle system ergodicity
2010/12/15
We exhibit a Probabilistic Cellular Automaton (PCA) on {0, 1}Z with a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure.This answers by the negative an old open qu...
Is there a physically universal cellular automaton or Hamiltonian?
physically universal cellular automaton Hamiltonian
2010/10/19
It is known that both quantum and classical cellular automata (CA) exist that are computationally universal in the sense that they can simulate, after appropriate initialization, any quantum or classi...
Calibration of the Particle Density in Cellular-Automaton Models for Traffic Flow
Particle Density Traffic Flow Cellular-Automaton Models
2010/4/2
We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what observed in simulation....
Construction of an isotropic cellular automaton for a reaction-diffusion equation by means of a random walk
reaction-diffusion equation random walk
2010/4/1
We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the re...
Cellular automaton modelling of lightning-induced and man made forest fires
Cellular automaton modelling lightning-induced and man made forest fires
2009/12/8
The impact of forest fires on nature and civilisation is conflicting: on one hand, they play an irreplaceable role in the natural regeneration process, but on the other hand, they come within the majo...
Cellular automaton for realistic modelling of landslides
Cellular automaton realistic modelling landslides
2009/11/16
A numerical model is developed for the simulation of debris flow in landslides over a complex three dimensional topography. The model is then validated by comparing a simulation with reported field da...
Non-linearity and spatial resolution in a cellular automaton model of a small upland basin
cellular automaton Cam Gill Beck upland basin
2009/6/5
The continuing development of computational fluid dynamics is allowing the high resolution study of hydraulic and sediment transport processes but, due to computational complexities, these are rarely ...
A Modified Sensitive Driving Cellular Automaton Model
traffic flow cellular automaton model sensitive
behavior variable security gap
2007/8/15
2005Vol.43No.2pp.321-324DOI:
A Modified Sensitive Driving Cellular Automaton Model
GE Hong-Xia, DAI Shi-Qiang, DONG Li-Yun, and LEI Li
Shanghai Institute of Applied Math...