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

Erik I. Broman

math.PRarXiv:math/0503654

Abstract

Given a trigonometric polynomial f:[0,1][0,1] of degree m, one can define a corresponding stationary process Xii∈ 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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