[1]刘春苔.符号空间上Takagi函数的局部水平集[J].江西师范大学学报(自然科学版),2013,(02):191-194.
 LIU Chun-tai.The Local Level Sets of Takagi on Symbol Space[J].,2013,(02):191-194.
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符号空间上Takagi函数的局部水平集()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年02期
页码:
191-194
栏目:
出版日期:
2013-03-01

文章信息/Info

Title:
The Local Level Sets of Takagi on Symbol Space
作者:
刘春苔
武汉轻工大学数学与计算机学院,湖北武汉,430023
Author(s):
LIU Chun-tai
关键词:
Takagi函数Hausdorff维数局部水平集Moran集
Keywords:
Takagi functionHausdorff dimensionthe local level setMoran set
分类号:
O174.1
文献标志码:
A
摘要:
利用符号空间上Moran集的维数性质,研究符号空间上Takagi函数水平集和局部水平集的维数,对符号空间中任意一点给出其对应局部水平集的维数,最后讨论了局部水平集Hausdorff维数的某种连续性.
Abstract:
With Moran set on symbol space,the Hausdorff dimension of the level sets and the local level set of Takagi function f(σ) on the symbol space are discussed.Exact Hausdorff dimension of the local level set for any point in symbol space is obtained.At last,the continuity of Hausdorff dimension on the local level sets is studied.

参考文献/References:

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[11] 刘爱萍.自相似集迭代函数系统的分离性 [J].江西师范大学学报:自然科学版,2010,34(6):594-596.
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备注/Memo

备注/Memo:
华中师范大学中央高校基本科研业务费(CCNU11A01028)
更新日期/Last Update: 1900-01-01