Proxitaxis is a proximity-based adaptive search strategy with stochastic resetting and dynamic reset updates that analytically maximizes capture probability and exhibits multiple phase transitions in control parameters in all dimensions.
For R∗ 01 < R 0 < R ∗ 02, the op- timal strategy is standard diffusionwith stochastic resetting [24, 25], i.e.,r > 0 and α = 0
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Proxitaxis: an adaptive search strategy based on proximity and stochastic resetting
Proxitaxis is a proximity-based adaptive search strategy with stochastic resetting and dynamic reset updates that analytically maximizes capture probability and exhibits multiple phase transitions in control parameters in all dimensions.