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Abstrakty
A finite-state stationary process is called (one- or two-sided) super-K if its (one- or two-sided) super-tail field-generated by keeping track of (initial or central) symbol counts as well as of arbitrarily remote names-is trivial. We prove that for every process (α,T) which has a direct Bernoulli factor there is a generating partition β whose one-sided super-tail equals the usual one-sided tail of β. Consequently, every K-process with a direct Bernoulli factor has a one-sided super-K generator. (This partially answers a question of Petersen and Schmidt.)
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
9-23
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Department of Mathematics, University of North Carolina, CB 3250, Phillips Hall, Chapel Hill, NC 27599 U.S.A.
autor
- Laboratoire de Probabilités, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris, France
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-1-2