Abstract
A general model of random transport is considered: independent agents are stochastically emitted into a space with general topology; the agents' motion in space is governed by a general random transport mechanism; the agents are detected only when in a target zone which is an arbitrary subset of space. We explore emission intensities which render the agents' 'target-zone statistics' universal, i.e. invariant with respect to the underlying spatial topology and transport mechanism. The results established determine how to universally control the target-zone statistics via the emission intensity, and show that the resulting universal statistics are governed by power laws.
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