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

成果类型:
Article
署名作者:
Broman, EI
署名单位:
Chalmers University of Technology
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/009117904000000595
发表日期:
2005
页码:
601-609
关键词:
摘要:
Given a trigonometric polynomial f : [0, 1] -> [0, 1] of degree m, one can define a corresponding stationary process {X-i}(i is an element of 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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