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

Erik I. Broman
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Abstract

Given 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.

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Erik I. Broman. 2005-03-29. One-dependent trigonometric determinantal processes are two-block-factors. https://doi.org/10.1214/009117904000000595

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