标题： 关于由准因子生成过程的熵 显示英文标题

标题： On the entropy of processes generated by quasifactors

摘要： 给定一个可测动力系统$(X,\mathcal{X},\mu,T)$，其中$X$是一个紧致度量空间，$\mathcal{X}$是$X$上的 Borel$\sigma$-代数，$\mu$是一个$T$-不变的 Borel 概率测度，$T$是作用在$X$上的同胚，我们证明，如果$h_{\mu}(T)>0$，则$h_{\widetilde{\mu}}(\widetilde{T})>0$对于每个具有全支撑的准因子$\widetilde{\mu}$的$\mu$。 显示英文摘要

摘要： Given a measurable dynamical system $(X,\mathcal{X},\mu,T)$, where $X$ is a compact metric space, $\mathcal{X}$ is the Borel $\sigma$-algebra on $X$, $\mu$ is a $T$-invariant Borel probability measure and $T$ is a homeomorphism acting on $X$ we show that, if $h_{\mu}(T)>0$, then $h_{\widetilde{\mu}}(\widetilde{T})>0$ for every quasifactor $\widetilde{\mu}$ of $\mu$ having full-support.