Abstract
For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Cesàro mean of the iterates of a Markov measure converges to the Haar measure. This is proven by using the combinatorics of the binomial coefficients on the regenerative construction of the Markov measure.
Information
Published: 1 January 2006
First available in Project Euclid: 28 November 2007
zbMATH: 1121.37017
MathSciNet: MR2306192
Digital Object Identifier: 10.1214/074921706000000130
Subjects:
Primary:
54H20
Secondary:
37B20
Keywords:
algebraic topological Markov chain
,
cellular automata
,
Markov measures
,
maximal entropy measure
Rights: Copyright © 2006, Institute of Mathematical Statistics
