论文标题

措施理论度量平均维度

Measure-theoretic metric mean dimension

论文作者

Yang, Rui, Chen, Ercai, Zhou, Xiaoyao

论文摘要

对于无限度量理论熵系统,我们介绍了针对不同类型的度量理论$ε$ entropies的不变性度量的衡量标准的概念,并表明该度量的理论度量平均尺寸是不同类型的量度$ε$ - 进入量的量子量的量子量的衡量标准量的量子量的量子量;

For infinite measure-theoretic entropy systems, we introduce the notion of measure-theoretic metric mean dimension of invariant measures for different types of measure-theoretic $ε$-entropies, and show that measure-theoretic metric mean dimensions of different types of measure-theoretic $ε$-entropies coincide with the packing metric mean dimension of the set of generic points of ergodic measures.

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