One-dependent trigonometric determinantal processes are two-block-factors. (English) Zbl 1067.60010

If \(f\) is a trigonometric polynomial of degree \(m\), a stationary process via determinants of the Toeplitz matrix for \(f\) can be defined. This process is \(m\)-dependent. An \((m+1)\)-block-factor is trivially \(m\)-dependent. The problem is to see if all \(m\)-dependent processes are \((m+1)\)-block-factors. A positive answer is given for \(m=1\), namely: one-dependent trigonometric determinantal processes are two-block-factors.


60G10 Stationary stochastic processes
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