Conservation Laws in Rectangular CA

نویسندگان

  • Tim Boykett
  • Jarkko Kari
  • Siamak Taati
چکیده

A 1D Reversible Cellular Automata (RCA) with forward and backward radius2 neighborhoods is called Rectangular. It was previously conjectured that the conservation laws in 1D Rectangular RCA can be described as linear combinations of independent constant-speed flows to the right or to the left. This is indeed the case; so is a similar statement about a more general class of Rectangular RCA in any dimension.

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عنوان ژورنال:
  • J. Cellular Automata

دوره 3  شماره 

صفحات  -

تاریخ انتشار 2008