eprintid: 2399 rev_number: 9 eprint_status: archive userid: 6 dir: disk0/00/00/23/99 datestamp: 2014-12-04 09:48:08 lastmod: 2014-12-04 11:46:07 status_changed: 2014-12-04 09:48:08 type: article metadata_visibility: show creators_name: Perotti, Juan I. creators_name: Billoni, Orlando V. creators_id: juanignacio.perotti@imtlucca.it creators_id: title: Smart random walkers: the cost of knowing the path ispublished: pub subjects: QC divisions: EIC full_text_status: public keywords: PACS number(s): 05.40.Fb, 89.70.Hj, 89.70.Cf note: © 2012 American Physical Society abstract: In this work we study the problem of targeting signals in networks using entropy information measurements to quantify the cost of targeting. We introduce a penalization rule that imposes a restriction on the long paths and therefore focuses the signal to the target. By this scheme we go continuously from fully random walkers to walkers biased to the target. We found that the optimal degree of penalization is mainly determined by the topology of the network. By analyzing several examples, we have found that a small amount of penalization reduces considerably the typical walk length, and from this we conclude that a network can be efficiently navigated with restricted information. date: 2012-07 date_type: published publication: Physical Review E volume: 86 publisher: American Physical Society pagerange: 011120 id_number: 10.1103/PhysRevE.86.011120 refereed: TRUE issn: 1539-3755 official_url: http://link.aps.org/doi/10.1103/PhysRevE.86.011120 citation: Perotti, Juan I. and Billoni, Orlando V. Smart random walkers: the cost of knowing the path. Physical Review E, 86. 011120. ISSN 1539-3755 (2012) document_url: http://eprints.imtlucca.it/2399/1/PhysRevE_Perotti_2012.pdf