@inproceedings{9bd6f456e7c94e1db266821b203eb59f,
title = "Multi-hierarchical movements in self-avoiding walks",
abstract = "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.",
author = "Tomoko Sakiyama and Gunji, {Yukio Pegio}",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
year = "2017",
month = jul,
day = "21",
doi = "10.1063/1.4992531",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
}