Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
428829 | Information Processing Letters | 2007 | 4 Pages |
Abstract
In this paper we study the invertibility of one-dimensional cellular automata, determined by a local rule, acting on the space of all doubly-infinite sequences taking values in a finite Galois ring. We also compute the topological entropy of one-dimensional CA generated by additive local rule over a finite Galois ring. We conclude by showing that the topological entropy of an additive invertible CA over a finite Galois ring is equal to its inverse.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics