A random walk on Area Restricted Search
Statistical Mechanics
2020-06-26 v1 Information Retrieval
Social and Information Networks
Dynamical Systems
Abstract
These notes from a graduate class at the Unuversidad Autonoma de Madrid analyze a search behavior known as Area Resticted Search (ARS), widespread in the animal kingdom, and optimal when the resources that one is after are "patchy". In the first section we study the importance of the behavior in animal and its dependence on the dopamine as a indicator of reward. In the second section we put together a genetic algorithm to determine the optimality of ARS and its characteristics. Finally, we relate ARS to a type of random walks known as "Levy Walks", in which the probability of jumping at a distance d from the current location follows a power law distribution.
Keywords
Cite
@article{arxiv.2006.14318,
title = {A random walk on Area Restricted Search},
author = {Simone Santini},
journal= {arXiv preprint arXiv:2006.14318},
year = {2020}
}
Comments
67 pages, 30 figures