Wavelet Correlation in the One-Dimensional Projection α-Model

Lin Hai; Liu Lianshou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1997, Vol. 21> Issue(6) : 513-522

Wavelet Correlation in the One-Dimensional Projection α-Model

Lin Hai ^, ,
Liu Lianshou

Physics Department,Yanbei Teacher's College,Datong 0370002 Institute of Particle Physics,Huazhong Normal University,Wuhan 430079

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Abstract：
One-dimensional projection of two-dimensional self-affine phase space for two typical self-affine fractals is studied,and one-dimensional projection α model is obtained.About this model,starting from characterstic function,we study its correlation densities and the wavelet correption moment.The wavelet basis functions of split number Λ=2,3,4 are found out.It turns out that the various wavelet-coefficents decouple when the second order wavelet correlation moments are considered.This is a general conclusion and model independent.

References

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M.Greiner,p.Lipa,P,Carruthers,Wavelet Correlations in the P-Model,preprint HEPHY-PUB587/93（1993）.[2]M.Greiner,J.Giesemannp.Lipa et al.,Wavelet Correlations in Hierarchical Branching Processes,.Preprint HEPHY-PUB618/ 95（1995）.[3]Wu Yuanfang,Liu Lianshou,Phys,Rev.lett.,70（1993）3197.[4]A.Bialas,R.Peschanski,Nucl.Phys.,B275（1986）703[5]A.,Bialas.R.Peschanski,Nucl.Phys.B308（1988）857.[6]W.Ochs,.Phys.Lett.,B247（1990）101[7]林海，张阳，刘连寿，高能物理与核物理，18（1994）858[8]林海，刘连寿，高能物理与核物理，20（1996）625.[9]林海，刘连寿，科学通报，40（1995）502.

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Lin Hai and Liu Lianshou. Wavelet Correlation in the One-Dimensional Projection α-Model[J]. Chinese Physics C, 1997, 21(6): 513-522.

Lin Hai and Liu Lianshou. Wavelet Correlation in the One-Dimensional Projection α-Model[J]. Chinese Physics C, 1997, 21(6): 513-522. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Wavelet Correlation in the One-Dimensional Projection α-Model

Lin Hai ^,
Liu Lianshou

Corresponding author: Lin Hai,

Physics Department,Yanbei Teacher's College,Datong 0370002 Institute of Particle Physics,Huazhong Normal University,Wuhan 430079

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-06-05

Abstract: One-dimensional projection of two-dimensional self-affine phase space for two typical self-affine fractals is studied,and one-dimensional projection α model is obtained.About this model,starting from characterstic function,we study its correlation densities and the wavelet correption moment.The wavelet basis functions of split number Λ=2,3,4 are found out.It turns out that the various wavelet-coefficents decouple when the second order wavelet correlation moments are considered.This is a general conclusion and model independent.