In this paper, we study the invariant measures of a continuous map and a continuous semi-flow on a compact metric space.

本文研究了紧致度量空间上连续自映射及连续半流的不变测度。

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In this paper, the pointwise pseudo-orbit tracing property is defined on a compact metric space, and it is a generalization of pseudo-orbit tracing property.

本文给出紧致度量空间逐点伪轨跟踪性质的定义，该定义是伪轨跟踪性质定义的推广。

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In this paper, a necessary and a sufficient condition for the continuous map on a compact metric space whose set of period points has the property of locally metric stability is obtained.

给出了紧致度量空间上连续自映射的周期点集具有局部度量稳定性的必要条件和充分条件。

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