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

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

2005-03-29

arxiv.org/abs/math/0503654v1

Annals of Probability 2005, Vol. 33, No. 2, 601-609

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117904000000595 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117904000000595

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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