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What are Cellular Automata (CA)?

April 26, 2017automata ca cellular

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What are Cellular Automata (CA)?

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Contributions by: Lyman Hurd Here is one physicist’s view of the relevant definitions: A cellular automaton is a discrete dynamical system. Space, time, and the states of the system are discrete. Each point in a regular spatial lattice, called a cell, can have any one of a finite number of states. The states of the cells in the lattice are updated according to a local rule. That is, the state of a cell at a given time depends only on its own state one time step previously, and the states of its nearby neighbors at the previous time step. All cells on the lattice are updated synchronously. Thus the state of the entire lattice advances in discrete time steps. Here is one mathematician’s view of the relevant definitions: Conventions d=dimension, k=states per site, r=radius (all explained below). For simplicity, assume d=1 for the moment. A d-dimensional cellular automaton takes as its underlying space the lattice (Z=integers, infinite in both positive and negative d