A random walk on Area Restricted Search
June 25, 2020 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Simone Santini
arXiv ID
2006.14318
Category
cond-mat.stat-mech
Cross-listed
cs.IR,
cs.SI,
math.DS
Citations
2
Venue
arXiv.org
Last Checked
3 months ago
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.
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