Right-Permutative Cellular Automata on Topological Markov Chains

Details Right-Permutative Cellular Automata on Topological Markov Chains Right-Permutative Cellular Automata on Topological Markov Chains

2006-03-14

arxiv.org/abs/math/0603326v3

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Volume 20, Number 4, April 2008, pp. 1095--1109

Mathematics

Dynamical Systems

16 pages, 2 figure. A new version with improved redaction of Theorem 6.3(i)) to clearify its consequences

Scientific paper

In this paper we consider cellular automata $(\mathfrak{G},\Phi)$ with algebraic local rules and such that $\mathfrak{G}$ is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Ces\`aro mean distribution of the iterates of any probability measure with complete connections and summable decay.

Affiliated with

Also associated with

No associations

Rating

Right-Permutative Cellular Automata on Topological Markov Chains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Right-Permutative Cellular Automata on Topological Markov Chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Right-Permutative Cellular Automata on Topological Markov Chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704771