%0 Generic %1 chang2015bernoulli %A Chang, Chih-Hung %A Chang, Huilan %D 2015 %K additive ergodic %T On the Bernoulli Automorphism of Reversible Linear Cellular Automata %U http://arxiv.org/abs/1503.05999 %X This investigation studies the ergodic properties of reversible linear cellular automata over $Z_m$ for $m N$. We show that a reversible linear cellular automaton is either a Bernoulli automorphism or non-ergodic. This gives an affirmative answer to an open problem proposed in Pivato, Ergodc theory of cellular automata, Encyclopedia of Complexity and Systems Science, 2009, pp.~2980-3015 for the case of reversible linear cellular automata.

@misc{chang2015bernoulli, abstract = {This investigation studies the ergodic properties of reversible linear cellular automata over $\mathbb{Z}_m$ for $m \in \mathbb{N}$. We show that a reversible linear cellular automaton is either a Bernoulli automorphism or non-ergodic. This gives an affirmative answer to an open problem proposed in [Pivato, Ergodc theory of cellular automata, Encyclopedia of Complexity and Systems Science, 2009, pp.~2980-3015] for the case of reversible linear cellular automata.}, added-at = {2015-11-17T18:43:48.000+0100}, author = {Chang, Chih-Hung and Chang, Huilan}, biburl = {https://www.bibsonomy.org/bibtex/29aeae516ca9939dfd54aaec4254ee256/pguillon}, description = {On the Bernoulli Automorphism of Reversible Linear Cellular Automata}, interhash = {0b356cd1b5b16fa4a508119b0a8db2a2}, intrahash = {9aeae516ca9939dfd54aaec4254ee256}, keywords = {additive ergodic}, note = {cite arxiv:1503.05999}, timestamp = {2015-11-17T18:47:50.000+0100}, title = {On the Bernoulli Automorphism of Reversible Linear Cellular Automata}, url = {http://arxiv.org/abs/1503.05999}, year = 2015 }