On the entropy of processes generated by quasifactors
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918498125479936 |
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| author | Vermersch, Rômulo M. |
| author_facet | Vermersch, Rômulo M. |
| contents | Given a measurable dynamical system $(X,\mathcal{X},μ,T)$, where $X$ is a compact metric space, $\mathcal{X}$ is the Borel $σ$-algebra on $X$, $μ$ is a $T$-invariant Borel probability measure and $T$ is a homeomorphism acting on $X$ we show that, if $h_μ(T)>0$, then $h_{\widetildeμ}(\widetilde{T})>0$ for every quasifactor $\widetildeμ$ of $μ$ having full-support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the entropy of processes generated by quasifactors Vermersch, Rômulo M. Dynamical Systems Given a measurable dynamical system $(X,\mathcal{X},μ,T)$, where $X$ is a compact metric space, $\mathcal{X}$ is the Borel $σ$-algebra on $X$, $μ$ is a $T$-invariant Borel probability measure and $T$ is a homeomorphism acting on $X$ we show that, if $h_μ(T)>0$, then $h_{\widetildeμ}(\widetilde{T})>0$ for every quasifactor $\widetildeμ$ of $μ$ having full-support. |
| title | On the entropy of processes generated by quasifactors |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.00891 |