Ergodic properties of low complexity symbolic systems
Formal Metadata
| Title | Ergodic properties of low complexity symbolic systems |
|
| Title of Series | |
| Number of Parts | 15 |
| Author | |
| License | You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor. |
| Identifiers | |
| Publisher | |
| Release Date | |
| Language | |
Content Metadata
| Subject Area | |
| Genre | |
| Abstract | The topological entropy of a subshift is the exponential growth rate of the number of words of different lengths in its language. For subshifts of entropy zero, finer growth invariants constrain their dynamical properties. In this talk we will survey how the complexity of a subshift affects properties of the ergodic measures it carries. In particular, we will see some recent results (joint with B. Kra) relating the word complexity of a subshift to its set of ergodic measures as well as some applications. |
|
