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Counterexample to the Lévy flight foraging hypothesis in the narrow capture framework

Counterexample to the Lévy flight foraging hypothesis in the narrow capture framework

The Lévy flight foraging hypothesis asserts that biological organisms have evolved to employ (truncated) Lévy flight searches due to such strategies being more efficient than those based on Brownian motion. However, we provide here a concrete two-dimensional counterexample in which Brownian search is more efficient. In fact, we show that …