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

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dc.creatorMaass, Alejandro
dc.creatorMart\'{ı}nez, Servet
dc.creatorPivato, Marcus
dc.creatorYassawi, Reem
dc.date2006-08-09
dc.date.accessioned2026-07-07T07:21:35Z
dc.date.available2026-07-07T07:21:35Z
dc.descriptionFor 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.
dc.descriptionPublished 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)
dc.identifierhttps://arxiv.org/abs/math/0608222
dc.identifierhttp://arxiv.org/abs/math/0608222
dc.identifierIMS Lecture Notes--Monograph Series 2006, Vol. 48, 100-108
dc.identifierdoi:10.1214/074921706000000130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115347
dc.subjectDynamical Systems
dc.subjectGeneral Topology
dc.subject54H20 (Primary) 37B20 (Secondary)
dc.titleAttractiveness of the Haar measure for linear cellular automata on Markov subgroups
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