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Constant-length random substitutions and gibbs measures

dc.contributor.authorMaldonado Ahumada, César Octavio
dc.contributor.authorTrejo Valencia, Liliana
dc.contributor.authorUgalde, Edgardo
dc.identifier.citationMaldonado, C., Trejo-Valencia, L. & Ugalde, E. J Stat Phys (2018) 171: 269.
dc.description.abstract"This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitutions rule, the existence of a unique process which remains invariant under the substitution, and which exhibits a polynomial decay of correlations. For constant-length substitutions, we go further by proving that the invariant state is precisely a Gibbs measure which can be obtained as the projective limit of its natural Markovian approximations. We end up the paper by studying a class of substitutions whose invariant state is the unique Gibbs measure for a hierarchical two-body interaction."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectGibbs measures
dc.subjectRandom substitutions
dc.subjectProjective convergence
dc.titleConstant-length random substitutions and gibbs measures
dc.rights.accessAcceso Abierto

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional