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.
本文言語 | English |
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ホスト出版物のタイトル | International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 |
出版社 | American Institute of Physics Inc. |
巻 | 1863 |
ISBN(電子版) | 9780735415386 |
DOI | |
出版ステータス | Published - 2017 7月 21 |
イベント | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece 継続期間: 2016 9月 19 → 2016 9月 25 |
Other
Other | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 |
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国/地域 | Greece |
City | Rhodes |
Period | 16/9/19 → 16/9/25 |
ASJC Scopus subject areas
- 物理学および天文学(全般)