Limit measures for affine cellular automata on topological Markov subgroups
Artículo
Open/ Download
Date
2006-09Metadata
Show full item record
Cómo citar
Maass Sepúlveda, Alejandro
Cómo citar
Limit measures for affine cellular automata on topological Markov subgroups
Abstract
Consider a topological Markov subgroup which is p(s)-torsion (with p prime) and an affine cellular automaton defined on it. We show that the Cesaro mean of the iterates, by the automaton of a probability measure with complete connections and summable memory decay that is compatible with the topological Markov subgroup, converges to the Haar measure.
Quote Item
NONLINEARITY Volume: 19 Issue: 9 Pages: 2137-2147 Published: SEP 2006
Collections