Attractiveness of the Haar measure for linear cellular automata on Markov subgroups
نویسندگان
چکیده
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.
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