%0 Journal Article %1 Eliazar2011Universal %A Eliazar, Iddo %A Klafter, Joseph %D 2011 %J Journal of Physics A: Mathematical and Theoretical %K levy\_flights, statistics, transport %N 22 %P 222001+ %R 10.1088/1751-8113/44/22/222001 %T Universal statistics and control of random transport processes %U http://dx.doi.org/10.1088/1751-8113/44/22/222001 %V 44 %X 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.

@article{Eliazar2011Universal, 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Eliazar, Iddo and Klafter, Joseph}, biburl = {https://www.bibsonomy.org/bibtex/24a2cdddb649ade1bdd3801ec9df1557d/nonancourt}, citeulike-article-id = {9540366}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1751-8113/44/22/222001}, citeulike-linkout-1 = {http://iopscience.iop.org/1751-8113/44/22/222001}, day = 03, doi = {10.1088/1751-8113/44/22/222001}, interhash = {c34f22e4f0ac3c912a51b185823d89e4}, intrahash = {4a2cdddb649ade1bdd3801ec9df1557d}, issn = {1751-8113}, journal = {Journal of Physics A: Mathematical and Theoretical}, keywords = {levy\_flights, statistics, transport}, month = jun, number = 22, pages = {222001+}, posted-at = {2011-07-13 08:39:16}, priority = {2}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Universal statistics and control of random transport processes}}, url = {http://dx.doi.org/10.1088/1751-8113/44/22/222001}, volume = 44, year = 2011 }