{"id":"https://openalex.org/W2073859315","doi":"https://doi.org/10.1109/tcns.2014.2367571","title":"Ergodic Randomized Algorithms and Dynamics Over Networks","display_name":"Ergodic Randomized Algorithms and Dynamics Over Networks","publication_year":2014,"publication_date":"2014-11-11","ids":{"openalex":"https://openalex.org/W2073859315","doi":"https://doi.org/10.1109/tcns.2014.2367571","mag":"2073859315"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2014.2367571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2014.2367571","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control of Network Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ris.utwente.nl/ws/files/6411640/Frasca1309.1349.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052019467","display_name":"Chiara Ravazzi","orcid":"https://orcid.org/0000-0002-3186-6195"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Chiara Ravazzi","raw_affiliation_strings":["Department of Electronics and Telecommunications (DET), Politecnico di Torino, Italy","Dept. of Electron. & Telecommun. (DET), Politec. di Torino, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications (DET), Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. (DET), Politec. di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050626793","display_name":"Paolo Frasca","orcid":"https://orcid.org/0000-0003-0962-3119"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Paolo Frasca","raw_affiliation_strings":["Department of Applied Mathematics, University of Twente, The Netherlands","Dept. of Appl. Math., Univ. of Twente, Enschede, Netherlands#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Twente, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Dept. of Appl. Math., Univ. of Twente, Enschede, Netherlands#TAB#","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087344658","display_name":"Roberto Tempo","orcid":null},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Tempo","raw_affiliation_strings":["CNR-IEIIT, Politecnico di Torino, Italy","IEIIT, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNR-IEIIT, Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210100607"]},{"raw_affiliation_string":"IEIIT, Turin, Italy","institution_ids":["https://openalex.org/I4210100607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081056634","display_name":"Hideaki Ishii","orcid":"https://orcid.org/0000-0003-0367-824X"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hideaki Ishii","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Japan","Dept. of Comput. Intell. & Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Dept. of Comput. Intell. & Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.5571,"has_fulltext":true,"cited_by_count":113,"citation_normalized_percentile":{"value":0.98776824,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"2","issue":"1","first_page":"78","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6978756189346313},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.6674076914787292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5767955183982849},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.5691689848899841},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5005166530609131},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.4968927204608917},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.4959615170955658},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.42161041498184204},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.421016126871109},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40930888056755066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39055848121643066},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34828895330429077},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11162325739860535}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6978756189346313},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.6674076914787292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5767955183982849},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.5691689848899841},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5005166530609131},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.4968927204608917},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.4959615170955658},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.42161041498184204},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.421016126871109},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40930888056755066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39055848121643066},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34828895330429077},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11162325739860535},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tcns.2014.2367571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2014.2367571","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control of Network Systems","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:publications/6ac858de-e281-4999-b387-f6a3a580a5c3","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/6ac858de-e281-4999-b387-f6a3a580a5c3","pdf_url":"https://ris.utwente.nl/ws/files/6411640/Frasca1309.1349.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ravazzi, C, Frasca, P, Tempo, R & Ishii, H 2015, 'Ergodic Randomized Algorithms and Dynamics Over Networks', IEEE transactions on control of network systems, vol. 2, no. 1, pp. 78-87. https://doi.org/10.1109/TCNS.2014.2367571","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.2324","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.2324","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1309.1349.pdf","raw_type":"text"},{"id":"pmh:oai:porto.polito.it:2597357","is_oa":false,"landing_page_url":"http://porto.polito.it/2597357/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:2325-5870","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50483442","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100801537","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:ris.utwente.nl:publications/6ac858de-e281-4999-b387-f6a3a580a5c3","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/6ac858de-e281-4999-b387-f6a3a580a5c3","pdf_url":"https://ris.utwente.nl/ws/files/6411640/Frasca1309.1349.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ravazzi, C, Frasca, P, Tempo, R & Ishii, H 2015, 'Ergodic Randomized Algorithms and Dynamics Over Networks', IEEE transactions on control of network systems, vol. 2, no. 1, pp. 78-87. https://doi.org/10.1109/TCNS.2014.2367571","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3829048491","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5073846079","display_name":"Highly-complex and networked control systems","funder_award_id":"257462","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5593277320","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5702163051","display_name":null,"funder_award_id":"FP7/2007","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2073859315.pdf","grobid_xml":"https://content.openalex.org/works/W2073859315.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W40754891","https://openalex.org/W594357522","https://openalex.org/W1416826986","https://openalex.org/W1568288633","https://openalex.org/W1599873380","https://openalex.org/W1603765807","https://openalex.org/W1608412409","https://openalex.org/W1819827759","https://openalex.org/W1967954124","https://openalex.org/W1975286263","https://openalex.org/W1980591506","https://openalex.org/W1996934732","https://openalex.org/W2004042106","https://openalex.org/W2005446274","https://openalex.org/W2023681133","https://openalex.org/W2026463410","https://openalex.org/W2026950860","https://openalex.org/W2030220106","https://openalex.org/W2035811299","https://openalex.org/W2044212084","https://openalex.org/W2051871196","https://openalex.org/W2066636486","https://openalex.org/W2069871789","https://openalex.org/W2081632029","https://openalex.org/W2086161653","https://openalex.org/W2087337385","https://openalex.org/W2089998775","https://openalex.org/W2090339674","https://openalex.org/W2090909086","https://openalex.org/W2104443140","https://openalex.org/W2105856476","https://openalex.org/W2106101949","https://openalex.org/W2112190732","https://openalex.org/W2114049383","https://openalex.org/W2114403255","https://openalex.org/W2117905067","https://openalex.org/W2118789923","https://openalex.org/W2123610102","https://openalex.org/W2126828700","https://openalex.org/W2129285212","https://openalex.org/W2130263842","https://openalex.org/W2131352717","https://openalex.org/W2134252677","https://openalex.org/W2144408773","https://openalex.org/W2148389824","https://openalex.org/W2158803465","https://openalex.org/W2271295020","https://openalex.org/W2327373345","https://openalex.org/W2341905372","https://openalex.org/W2502393534","https://openalex.org/W2963702418","https://openalex.org/W2963728078","https://openalex.org/W3101344794","https://openalex.org/W3102963639","https://openalex.org/W3103669764","https://openalex.org/W3124973796","https://openalex.org/W3212877690","https://openalex.org/W4238339534","https://openalex.org/W4239150239","https://openalex.org/W4243772471","https://openalex.org/W4253519783","https://openalex.org/W4293282250","https://openalex.org/W6673319503","https://openalex.org/W6676978425","https://openalex.org/W6683365346"],"related_works":["https://openalex.org/W2009962825","https://openalex.org/W1972942382","https://openalex.org/W124275629","https://openalex.org/W2385944013","https://openalex.org/W2136727990","https://openalex.org/W1722744795","https://openalex.org/W2950014027","https://openalex.org/W2952991236","https://openalex.org/W964575223","https://openalex.org/W4296948412"],"abstract_inverted_index":{"Algorithms":[0],"and":[1,8,28,65],"dynamics":[2,13,43,67,78],"over":[3],"networks":[4],"often":[5],"involve":[6],"randomization":[7,9],"can":[10,94,102],"induce":[11],"oscillating":[12],"that":[14,35],"fail":[15],"to":[16,50],"converge":[17],"in":[18,70],"a":[19,84,98],"deterministic":[20,85,92],"sense.":[21],"Under":[22],"assumptions":[23],"of":[24,30,53,68,83,109],"independence":[25],"across":[26],"time":[27],"linearity":[29],"the":[31,36,41,57,62,66,76,80,91,110],"updates,":[32],"we":[33],"show":[34],"oscillations":[37],"are":[38],"ergodic":[39],"if":[40],"expected":[42],"is":[44,79],"stable.":[45],"We":[46],"apply":[47],"this":[48],"result":[49],"three":[51],"problems":[52],"network":[54],"systems,":[55],"namely,":[56],"estimation":[58],"from":[59],"relative":[60],"measurements,":[61],"PageRank":[63],"computation,":[64],"opinions":[69],"social":[71],"networks.":[72],"In":[73],"these":[74],"applications,":[75],"randomized":[77],"asynchronous":[81],"counterpart":[82],"(stable)":[86],"synchronous":[87],"one.":[88],"By":[89],"ergodicity,":[90],"limit":[93],"be":[95,103],"recovered":[96],"via":[97],"time-averaging":[99],"operation,":[100],"which":[101],"performed":[104],"locally":[105],"by":[106],"each":[107],"node":[108],"network.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":20},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}