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SOME TOPOLOGICAL RESULTS on LEVEL SETS and MULTIFRACTAL SETS

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成果类型:
期刊论文
作者:
Liu, Chuntai*
通讯作者:
Liu, Chuntai
作者机构:
[Liu, Chuntai] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Peoples R China.
通讯机构:
[Liu, Chuntai] W
Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Peoples R China.
语种:
英文
关键词:
Level Set;Rademacher Series;Residual Set;Symbolic Space;Takagi's Series
期刊:
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
ISSN:
0218-348X
年:
2020
卷:
28
期:
1
页码:
2050009
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11601403]; China Scholarship CouncilChina Scholarship Council; Hubei Provincial Natural Science Foundation of ChinaNational Natural Science Foundation of China [2019CFB602]
机构署名:
本校为第一且通讯机构
院系归属:
数学与计算机学院
摘要:
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. © 2020 World ...

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