A general framework for search with fluctuating numbers of independent agents provides exact first-passage statistics and identifies regimes where stochastic resetting is a universal lower bound or where DRM is faster.
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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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Dynamic redundancy and mortality in stochastic search
A general framework for search with fluctuating numbers of independent agents provides exact first-passage statistics and identifies regimes where stochastic resetting is a universal lower bound or where DRM is faster.
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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.