论文标题

规格属性几乎较弱的地图的不规则设置具有完整的度量平均维度

The irregular set for maps with almost weak specification property has full metric mean dimension

论文作者

Liu, Chunlin, Liu, Xue

论文摘要

令$(x,d)$为一个紧凑的度量空间,$ f:x \ x $是连续转换,几乎弱规范属性,$φ:x \ to \ mathbb {r} $是连续的功能。我们考虑了Birkhoff平均值$φ$不存在的点(称为$φ$的不规则集合),并表明该集合是空的,要么携带完整的Bowen上和下标准平均尺寸。

Let $(X, d)$ be a compact metric space, $f: X \to X$ be a continuous transformation with the almost weak specification property and $φ: X \to \mathbb{R}$ be a continuous function. We consider the set (called the irregular set for $φ$) of points for which the Birkhoff average of $φ$ does not exist and show that this set is either empty or carries full Bowen upper and lower metric mean dimension.

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