Conditional Entropy and Mutual Information in Random Cascading Processes

WU Yuan-Fang; LIU Lian-Shou

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(8) : 711-714

Conditional Entropy and Mutual Information in Random Cascading Processes

WU Yuan-Fang ^, ,
LIU Lian-Shou

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan 430070

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Abstract：
The conditional entropy and mutual information of two neighboring generations of division are proposed to use as characteristics in analyzing the random cascading mechanism in multiparticle production.It is shown that these characteristics are effective in examining the exsistence and property of self-similar cascading.

References

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A. Bialas and R. Peschanski, Nucl. Phys., B273 (1986), 703; iibid/i., B308(1988), 857.[2] See for example Festschift Leon Van Hove, eds. A. Giovannini and W. Kittel (World Scientific 1990) and the papers cited therein.[3] See for example R. J. McEliece, The theory of information and coding, Encyclopedia of mathematics and its applications Vol. 3 (Addison-Wesley 1977).[4] V. S. Pugachev, Probability theory and mathematical statistics for engineers (Pergamon Press 1984).[5] A. Papoulis, Probability, random variables and stochastic processes (McGraw-Hill 1984).[6] 吴元芳, 刘连寿, 科学通报, 36卷(1990), 21.[7] G. A. Baym, P. Braun-Munzinger and S. Nagamiya (eds,), .Proc. of the Seventh International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions, Nucl. phys., A498(1990).[8] 吴元芳, 刘连寿, 高能物理与核物理, 13(1989), 808.[9] T. D. Lee, Talk given at the Ettore Majorana Center for Scientific Culture,Erice: 28th Course, Physics Up to 200 TeV.

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WU Yuan-Fang and LIU Lian-Shou. Conditional Entropy and Mutual Information in Random Cascading Processes[J]. Chinese Physics C, 1991, 15(8): 711-714.

WU Yuan-Fang and LIU Lian-Shou. Conditional Entropy and Mutual Information in Random Cascading Processes[J]. Chinese Physics C, 1991, 15(8): 711-714. shu

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

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Conditional Entropy and Mutual Information in Random Cascading Processes

WU Yuan-Fang ^,
LIU Lian-Shou

Corresponding author: WU Yuan-Fang,

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-08-05

Abstract: The conditional entropy and mutual information of two neighboring generations of division are proposed to use as characteristics in analyzing the random cascading mechanism in multiparticle production.It is shown that these characteristics are effective in examining the exsistence and property of self-similar cascading.