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题名: The relationship between the fractional integral and the fractal structure of a memory set
作者: Ren, FY ;  Yu, ZG ;  Zhou, J ;  Le Mehaute, A ;  Nigmatullin, RR
刊名: PHYSICA A
出版日期: 1997
卷号: 246, 期号:40972, 页码:419-429
学科分类: Physics
通讯作者: Yu, ZG , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Fudan Univ, Inst Math, Shanghai 200433, Peoples R China; Inst Super Mat, F-72000 Le Mans, France; Kazan State Univ, Inst Theoret Phys, Kazan 420008, Russia
英文摘要: It is shown that there is no direct relation between the fractional exponent nu of the fractional integral and the fractal structure of the memory set considered, nu depends only on the first contraction coefficient xi(1) and the first weight P-1 of the self-similar measure (or infinite self-similar measure) mu on the memory set. If and only if P-1 = xi(1)(beta) (where beta is an element of (0, 1) is the fractal dimension of the memory set), nu is equal to the fractal dimension of the memory set. It is also true that nu is continuous about xi(1) and P-1.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000071039800010
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12400
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Ren, FY,Yu, ZG,Zhou, J,et al. The relationship between the fractional integral and the fractal structure of a memory set[J]. PHYSICA A,1997,246(40972):419-429.
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