Abstract
For some symbolic dynamical systems we study the value of the boundary deformation for a small ball in the phase space during a period of time depending on the center and radius of the ball. For actions of countable Abelian groups, a version of the Mean Ergodic theorem with averaging over random sets is proved and used in the proof of the main theorem on deformation rate.
| Original language | English |
|---|---|
| Pages (from-to) | 77-88 |
| Number of pages | 12 |
| Journal | Moscow Mathematical Journal |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2019 |
| Externally published | Yes |
Keywords
- Boundary deformation rate
- Invariant measure
- Magic word
- Mean Ergodic theorem
- Metric entropy
- Sofic system
- Symbolic dynamical systems
- Synchronized system
- Topological Markov shift
ASJC Scopus subject areas
- General Mathematics
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