Arxiv
| Presentation Name： | faithful and principal zero-dimensional extensions |
|---|---|
| Presenter🏃🏻♂️➡️： | Dawid Huczek |
| Date： | 2012-01-11 |
| Location： | 光华楼东主楼1801室 |
| Abstract： | We show that any topological dynamical system (X, T) has a zero-dimensional extension (Y, S) which is principal (i.e. every S-invariant measure has conditional entropy with respect to X equal to zero) and faithful (i.e. every T-invariant measure on X has exactly one preimage on Y). Furthermore, the system Y has no periodic points, which is also useful in certain applications |
| Annual Speech Directory🤞🏽： | No.6 |
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