One-dependent trigonometric determinantal processes are two-block-factors
classification
🧮 math.PR
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one-dependentprocesstrigonometriccorrespondingdefinedegreedeterminantaldeterminants
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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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