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.

MSC:

 60G10 Stationary stochastic processes
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References:

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