One-dependent trigonometric determinantal processes are two-block-factors
Probability
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0503654,
title = {One-dependent trigonometric determinantal processes are two-block-factors},
author = {Erik I. Broman},
journal= {arXiv preprint arXiv:math/0503654},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/009117904000000595 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)