Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We study the notion of ε-independence of a process on finitely (or countably) many states and that of ε-independence between two processes defined on the same measure preserving transformation. For that we use the language of entropy. First we demonstrate that if a process is ε-independent then its ε-independence from another process can be verified using a simplified condition. The main direction of our study is to find natural examples of ε-independence. In case of ε-independence of one process, we find an example among processes generated on the induced (first return time) transformation defined on a typical long cylinder set of any given process of positive entropy. To obtain examples of pairs of ε-independent processes we have to make an additional assumption on the master process. Then again, we find such pairs generated on the induced transformation as above. This is the most elaborate part of the paper. While the question whether our assumption is necessary remains open, we indicate a large class of processes where our assumption is satisfied.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
77-95
Opis fizyczny
Daty
wydano
2008
Twórcy
autor
- Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
autor
- Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm188-1-5