One-dependent trigonometric determinantal processes are two-block-factors

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dc.creatorBroman, Erik I.
dc.date2005-03-29
dc.date.accessioned2026-07-07T05:18:35Z
dc.date.available2026-07-07T05:18:35Z
dc.descriptionGiven a trigonometric polynomial f:[0,1]\to[0,1] of degree m, one can define a corresponding stationary process {X_i}_{i\in Z} via determinants of the Toeplitz matrix for f. We show that for m=1 this process, which is trivially one-dependent, is a two-block-factor.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000595 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0503654
dc.identifierhttp://arxiv.org/abs/math/0503654
dc.identifierAnnals of Probability 2005, Vol. 33, No. 2, 601-609
dc.identifierdoi:10.1214/009117904000000595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74710
dc.subjectProbability
dc.subject60G10. (Primary)
dc.titleOne-dependent trigonometric determinantal processes are two-block-factors
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