Asynchronous updating cellular automata

I need to give some more thought to whether the performance of this algorithm can be improved, and how to extend this algorithm to deal with the case where multiple cells are updated simultaneously in the ACA.

However, it looks promising so I thought I would describe it here in case anyone (a) knows of anything similar in the literature, or (b) can offer any insight into these remaining issues.

Programmer time is much more of a limiting factor than computer time in this project.

The value of a cell to update is taken into account as a neighbor on the other 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 After the iteration 0 0 1 1 0 0 0 0 1 2 2 0 0 0 0 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 Sample 3.To do this we first imagine that the ACA is a Poisson process.That is, time proceeds continuously, and each cell as a constant probability per unit time of performing its update function, independently of the other cells.It's worth mentioning that I'm interested in the transient dynamics of these systems rather than just the equilibrium state, so I need something that has equivalent dynamics to the above, rather than just something that will approach the same equilibrium distribution.(So variations of the chequerboard algorithm are not what I'm looking for.) The main difficulty in parallelising the above algorithm is collisions.

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