Universal statistics and control of random transport processes

Iddo Eliazar*, Joseph Klafter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number222001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number22
StatePublished - 3 Jun 2011


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