Measure-theoretic Uniformly Positive Entropy on the Space of Probability Measures
| Autor: | Vermersch, Rômulo M. |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | For a homeomorphism $T$ on a compact metric space $X$, a $T$-invariant Borel probability measure $\mu$ on $X$ and a measure-theoretic quasifactor $\widetilde{\mu}$ of $\mu$, we study the relationship between the local entropy of the system $(X,\mu,T)$ and of its induced system $(\mathcal{M}(X),\widetilde{\mu},\widetilde{T})$, where $\widetilde{T}$ is the homeomorphism induced by $T$ on the space $\mathcal{M}(X)$ of all Borel probability measures defined on $X$. Comment: 9 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|