SOME TOPOLOGICAL RESULTS ON LEVEL SETS AND MULTIFRACTAL SETS
SOME TOPOLOGICAL RESULTS ON LEVEL SETS AND MULTIFRACTAL SETS
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DOI：
10.1142/s0218348x20500097
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发表时间：
2020-02
期刊：
影响因子：
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通讯作者：
Chuntai Liu
中科院分区：
文献类型：
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作者：
Chuntai Liu
本文分别研究了Rademacher级数和Takagi级数引出的若干水平集和若干多重分形集的拓扑性质。利用符号空间，得到了它们是残差的充分必要条件。
In this paper, we study topological properties of some level sets and some multifractal sets induced by Rademacher’s series and Takagi’s series, respectively. By using symbolic space, we obtain necessary and sufficient conditions for them to be residual.