One-dependent trigonometric determinantal processes are two-block-factors
Broman, Erik I.
Ann. Probab., Tome 33 (2005) no. 1, p. 601-609 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2005-03-14
Classification:  Determinantal processes,  k-dependence,  k-block-factors,  60G10 
@article{1109868593,
     author = {Broman, Erik I.},
     title = {One-dependent trigonometric determinantal processes are two-block-factors},
     journal = {Ann. Probab.},
     volume = {33},
     number = {1},
     year = {2005},
     pages = { 601-609},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1109868593}
}

Broman, Erik I. One-dependent trigonometric determinantal processes are two-block-factors. Ann. Probab., Tome 33 (2005) no. 1, pp.  601-609. http://gdmltest.u-ga.fr/item/1109868593/