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The relationship between the fractional integral and the fractal structure of a memory set
Ren, FY; Yu, ZG; Zhou, J; Le Mehaute, A; Nigmatullin, RR; Yu, ZG , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
1997
发表期刊PHYSICA A
ISSN0378-4371
卷号246期号:40972页码:419-429
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.
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
学科领域Physics
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收录类别SCI
WOS记录号WOS:000071039800010
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被引频次:17[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12400
专题理论物理所1978-2010年知识产出
通讯作者Yu, ZG , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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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.
APA Ren, FY,Yu, ZG,Zhou, J,Le Mehaute, A,Nigmatullin, RR,&Yu, ZG , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(1997).The relationship between the fractional integral and the fractal structure of a memory set.PHYSICA A,246(40972),419-429.
MLA Ren, FY,et al."The relationship between the fractional integral and the fractal structure of a memory set".PHYSICA A 246.40972(1997):419-429.
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