Report
Structure of transition classes for factor codes on shifts of finite type
| العنوان: | Structure of transition classes for factor codes on shifts of finite type |
|---|---|
| المؤلفون: | Allahbakhshi, Mahsa, Hong, Soonjo, Jung, Uijin |
| المصدر: | Ergod. Th. Dynam. Sys. 35 (2014) 2353-2370 |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37B10 |
| الوصف: | Given a factor code $\pi$ from a shift of finite type $X$ onto a sofic shift $Y$, the class degree of $\pi$ is defined to be the minimal number of transition classes over points of $Y$. In this paper we investigate structure of transition classes and present several dynamical properties analogous to the properties of fibers of finite-to-one codes. As a corollary, we show that for an irreducible factor triple there cannot be a transition between two different transition classes over a right transitive point, answering a question raised by Quas. Comment: 17 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1017/etds.2014.39 |
| URL الوصول: | http://arxiv.org/abs/1311.5878 |
| رقم الانضمام: | edsarx.1311.5878 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1017/etds.2014.39 |
|---|