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March 2005 One-dependent trigonometric determinantal processes are two-block-factors
Erik I. Broman
Ann. Probab. 33(2): 601-609 (March 2005). DOI: 10.1214/009117904000000595

Abstract

Given a trigonometric polynomial f:[0,1]→[0,1] of degree m, one can define a corresponding stationary process {Xi}i∈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. "One-dependent trigonometric determinantal processes are two-block-factors." Ann. Probab. 33 (2) 601 - 609, March 2005. https://doi.org/10.1214/009117904000000595

Information

Published: March 2005
First available in Project Euclid: 3 March 2005

zbMATH: 1067.60010
MathSciNet: MR2123203
Digital Object Identifier: 10.1214/009117904000000595

Subjects:
Primary: 60G10

Keywords: Determinantal processes , k-block-factors , k-dependence

Rights: Copyright © 2005 Institute of Mathematical Statistics

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Vol.33 • No. 2 • March 2005
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