A general growth model for the emergence of power-law distributions

Shiwu Zhang; Jiming LIU

doi:10.1109/ICSMC.2009.5346832

A general growth model for the emergence of power-law distributions

Shiwu Zhang^*, Jiming LIU

^*Corresponding author for this work

Department of Computer Science

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

Abstract

An overwhelming phenomena across natural systems, social systems and ecosystems is discovered in recent years. The phenomena is coined by many terms, such as 1/f noise, Zipflaws, or scale-free, while power-law distribution of various events or metrics is the fundamental fact that exists in every complex system. It is believed that there exist a mechanism to rule the dynamics of complex system and generate the distribution. In this paper, a general growth model which incorporate Lotka-Volterra dynamics is developed to explain the mechanism of the power-law distribution preliminary. In the model, the influence on power distribution of the spreading rate and the mortality rate can be easily analyzed and explained.

Original language	English
Title of host publication	Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Pages	4210-4213
Number of pages	4
DOIs	https://doi.org/10.1109/ICSMC.2009.5346832
Publication status	Published - 2009
Event	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX, United States Duration: 11 Oct 2009 → 14 Oct 2009

Publication series

Name	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)	1062-922X

Conference

Conference	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Country/Territory	United States
City	San Antonio, TX
Period	11/10/09 → 14/10/09

User-Defined Keywords

Dynamics
Lotka-Volterra equations
Power-law distribution

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10.1109/ICSMC.2009.5346832

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title = "A general growth model for the emergence of power-law distributions",

abstract = "An overwhelming phenomena across natural systems, social systems and ecosystems is discovered in recent years. The phenomena is coined by many terms, such as 1/f noise, Zipflaws, or scale-free, while power-law distribution of various events or metrics is the fundamental fact that exists in every complex system. It is believed that there exist a mechanism to rule the dynamics of complex system and generate the distribution. In this paper, a general growth model which incorporate Lotka-Volterra dynamics is developed to explain the mechanism of the power-law distribution preliminary. In the model, the influence on power distribution of the spreading rate and the mortality rate can be easily analyzed and explained.",

keywords = "Dynamics, Lotka-Volterra equations, Power-law distribution",

author = "Shiwu Zhang and Jiming LIU",

year = "2009",

doi = "10.1109/ICSMC.2009.5346832",

language = "English",

isbn = "9781424427949",

series = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",

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Zhang, S & LIU, J 2009, A general growth model for the emergence of power-law distributions. in Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009., 5346832, Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, pp. 4210-4213, 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009, San Antonio, TX, United States, 11/10/09. https://doi.org/10.1109/ICSMC.2009.5346832

A general growth model for the emergence of power-law distributions. / Zhang, Shiwu; LIU, Jiming.
Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009. 2009. p. 4210-4213 5346832 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics).

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

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AB - An overwhelming phenomena across natural systems, social systems and ecosystems is discovered in recent years. The phenomena is coined by many terms, such as 1/f noise, Zipflaws, or scale-free, while power-law distribution of various events or metrics is the fundamental fact that exists in every complex system. It is believed that there exist a mechanism to rule the dynamics of complex system and generate the distribution. In this paper, a general growth model which incorporate Lotka-Volterra dynamics is developed to explain the mechanism of the power-law distribution preliminary. In the model, the influence on power distribution of the spreading rate and the mortality rate can be easily analyzed and explained.

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A general growth model for the emergence of power-law distributions

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