Projection of Markov measures may be Gibbsian

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dc.creatorChazottes, J. -R.
dc.creatorUgalde, E.
dc.date2002-11-29
dc.date.accessioned2026-07-07T04:53:24Z
dc.date.available2026-07-07T04:53:24Z
dc.descriptionWe study the induced measure obtained from a 1-step Markov measure, supported by a topological Markov chain, after the mapping of the original alphabet onto another one. We give sufficient conditions for the induced measure to be a Gibbs measure (in the sense of Bowen) when the factor system is again a topological Markov chain. This amounts to constructing, when it does exist, the induced potential and proving its Holder continuity. This is achieved through a matrix method. We provide examples and counterexamples to illustrate our results.
dc.description4 latex figures
dc.identifierhttps://arxiv.org/abs/math/0211457
dc.identifierhttp://arxiv.org/abs/math/0211457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65833
dc.subjectDynamical Systems
dc.subjectProbability
dc.titleProjection of Markov measures may be Gibbsian
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