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. |
| 巻 | 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 19 → 2016 9 25 |
Other
| Other | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 |
|---|---|
| 国 | Greece |
| 市 | Rhodes |
| 期間 | 16/9/19 → 16/9/25 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
これを引用
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
}
TY - GEN
T1 - Multi-hierarchical movements in self-avoiding walks
AU - Sakiyama, Tomoko
AU - Gunji, Yukio
PY - 2017/7/21
Y1 - 2017/7/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85026644674&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85026644674&partnerID=8YFLogxK
U2 - 10.1063/1.4992531
DO - 10.1063/1.4992531
M3 - Conference contribution
AN - SCOPUS:85026644674
VL - 1863
BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
PB - American Institute of Physics Inc.
ER -