Shadowing Property and Invariant Measures Having Full Supports
Shadowing Property and Invariant Measures Having Full Supports
复制标题
影子属性和不变测度得到全力支持
DOI：
10.1007/s12346-020-00338-9
复制
发表时间：
2020
影响因子：
1.4
通讯作者：
K. Sakai and N. Sumi
中科院分区：
文献类型：
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作者：
K. Moriyasu;K. Sakai and N. Sumi
我们从测度论的角度考虑了跟踪性。设为紧致度量空间的同胚。则在链递归集上具有跟踪性当且仅当存在一个具有完全支集的可影子不变测度。假设f不具有跟踪性。那么，如果存在具有完全支集的不变测度，那么，一般而言，每个不变测度都不是可跟踪的。
We consider the shadowing property from the measure theoretical view point. Letfbe a homeomorphism of a compact metric space. Thenfhas the shadowing property on the chain recurrent set if and only if there exists a shadowablef-invariant measure having full support. Suppose thatfdoes not have the shadowing property. Then, if there exists af-invariant measure having full support, then, generically, everyf-invariant measure is not shadowable.