A generalized geometric Brownian motion with independent entry and exit rates relaxes to a stationary distribution, exhibits three moment regimes, and has an optimal exit rate minimizing mean first-passage time.
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Resetting applied to a disordered 1D hopping model, recast as microtubule catastrophes with Gamma-distributed times, produces observed reset-length distributions and can yield logarithmically slow mean displacement growth.
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.
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Geometric Brownian motion with intermittent entries and exits
A generalized geometric Brownian motion with independent entry and exit rates relaxes to a stationary distribution, exhibits three moment regimes, and has an optimal exit rate minimizing mean first-passage time.
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Resetting dynamics in a system with quenched disorder
Resetting applied to a disordered 1D hopping model, recast as microtubule catastrophes with Gamma-distributed times, produces observed reset-length distributions and can yield logarithmically slow mean displacement growth.
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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.