One-dependent trigonometric determinantal processes are two-block-factors
Erik I. Broman
Source: Ann. Probab. Volume 33, Number 2
(2005), 601-609.
Abstract
Given a trigonometric polynomial f:[0,1]→[0,1] of degree m, one can define a corresponding stationary process {Xi}i∈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.
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Permanent link to this document: http://projecteuclid.org/euclid.aop/1109868593
Digital Object Identifier: doi:10.1214/009117904000000595
Mathematical Reviews number (MathSciNet): MR2123203
Zentralblatt MATH identifier: 02164475
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