The propagation of events in small-world networks driven by noise

Peng Wang*, Yu Wang, Matti Hämäläinen, Zhangxi Lin

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

    Abstract

    The propagation of events or influence in small-world networks is a very important issue. Based on previous researches, we study the case that the propagation is driven by noise. We establish a model which is a generalized Fokker-Planck equation(FPE) about the evolution probability of influence volume. In order to make it more practical, coefficients in the FPE are made time-dependent. We found the algebraic structure and dynamical symmetry of this FPE. By means of algebraic dynamics theory, the exact solutions of this FPE are presented. At last, the evolution of the probability of the influence volume is considered.

    Original languageEnglish
    Title of host publicationProceedings - 2010 International Conference on Management of e-Commerce and e-Government, ICMeCG 2010
    Pages90-95
    Number of pages6
    DOIs
    Publication statusPublished - 1 Dec 2010
    MoE publication typeA4 Article in a conference publication
    EventInternational Conference on Management of e-Commerce and e-Government - Chengu, China
    Duration: 23 Oct 201024 Oct 2010
    Conference number: 4

    Conference

    ConferenceInternational Conference on Management of e-Commerce and e-Government
    Abbreviated titleICMeCG
    CountryChina
    CityChengu
    Period23/10/201024/10/2010

    Keywords

    • Algebraic dynamics
    • Electronic commerce
    • Fokker-planck equation
    • Small-world networks

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