Multi-hierarchical movements in self-avoiding walks

Tomoko Sakiyama, Yukio Gunji

    研究成果: Conference contribution

    抄録

    A self-avoiding walk (SAW) is a series of moves on a lattice that visit the same place only once. Several studies reported that repellent reactions of foragers to previously visited sites induced power-law tailed SAWs in animals. In this paper, we show that modelling the agent's multi-avoidance reactions to its trails enables it to show ballistic movements which result in heavy-tailed movements. There is no literature showing emergent ballistic movements in SAWs. While following SAWs, the agent in my model changed its reactions to marked patches (visited sites) by considering global trail patterns based on local trail patterns when the agent was surrounded by previously visited sites. As a result, we succeeded in producing ballistic walks by the agents which exhibited emergent power-law tailed movements.

    元の言語English
    ホスト出版物のタイトルInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
    出版者American Institute of Physics Inc.
    1863
    ISBN(電子版)9780735415386
    DOI
    出版物ステータスPublished - 2017 7 21
    イベントInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
    継続期間: 2016 9 192016 9 25

    Other

    OtherInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
    Greece
    Rhodes
    期間16/9/1916/9/25

    Fingerprint

    ballistics
    avoidance
    animals

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    これを引用

    Sakiyama, T., & Gunji, Y. (2017). Multi-hierarchical movements in self-avoiding walks. : International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (巻 1863). [360002] American Institute of Physics Inc.. https://doi.org/10.1063/1.4992531

    Multi-hierarchical movements in self-avoiding walks. / Sakiyama, Tomoko; Gunji, Yukio.

    International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. 巻 1863 American Institute of Physics Inc., 2017. 360002.

    研究成果: Conference contribution

    Sakiyama, T & Gunji, Y 2017, Multi-hierarchical movements in self-avoiding walks. : International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. 巻. 1863, 360002, American Institute of Physics Inc., International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 16/9/19. https://doi.org/10.1063/1.4992531
    Sakiyama T, Gunji Y. Multi-hierarchical movements in self-avoiding walks. : International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. 巻 1863. American Institute of Physics Inc. 2017. 360002 https://doi.org/10.1063/1.4992531
    Sakiyama, Tomoko ; Gunji, Yukio. / Multi-hierarchical movements in self-avoiding walks. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. 巻 1863 American Institute of Physics Inc., 2017.
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