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

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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.
Published at http://dx.doi.org/10.1214/074921706000000130 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Dynamical Systems, General Topology, 54H20 (Primary) 37B20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/115347

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608222
 http://arxiv.org/abs/math/0608222
 IMS Lecture Notes--Monograph Series 2006, Vol. 48, 100-108
 doi:10.1214/074921706000000130

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