{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T01:54:50Z","timestamp":1778032490891,"version":"3.51.4"},"reference-count":70,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,1,20]],"date-time":"2021-01-20T00:00:00Z","timestamp":1611100800000},"content-version":"vor","delay-in-days":19,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research","doi-asserted-by":"publisher","award":["20-07-00651"],"award-info":[{"award-number":["20-07-00651"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>There is a number of studies, in which it is established that the observed flows of microposts generated by microblogging social networks (e.g., Twitter) are characterized by avalanche\u2010like behavior. Time series of microposts depicting such streams are the time series with a power\u2010law distribution, with 1\/<jats:italic>f<\/jats:italic> noise and long memory. Despite this, there are no studies devoted to the detection and analysis of self\u2010organized critical state, subcritical phase, and supercritical phase. The presented paper is devoted to the detection and investigation of such critical states and phases. An algorithm is proposed that allowed to detect of critical phases and critical conditions on Twitter, based on the analysis of retweets time series corresponding to the three debates of the 2016 United States Presidential Election, as the most popular debate in the history of America, collecting 84 million live views.<\/jats:p>","DOI":"10.1155\/2021\/6612785","type":"journal-article","created":{"date-parts":[[2021,1,20]],"date-time":"2021-01-20T19:50:05Z","timestamp":1611172205000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Identification of Self\u2010Organized Critical State on Twitter Based on the Retweets\u2019 Time Series Analysis"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7092-9101","authenticated-orcid":false,"given":"Andrey","family":"Dmitriev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1544-6462","authenticated-orcid":false,"given":"Victor","family":"Dmitriev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,1,20]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.3027989"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.98.032308"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2007-00270-8"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2018.11.047"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2007-00169-4"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.79.026106"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-019-54296-7"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-019-40990-z"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2986400"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-04648-4_41"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1257\/aer.103.6.2466"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-30440-3_383"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.5334\/dsj-2018-030"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1038\/srep30062"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1038\/srep36043"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1093\/scipol\/scy022"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.38.364"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1805847115"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11214-015-0155-x"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1038\/srep24445"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.3390\/universe6090145"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.3389\/fphys.2017.00478"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2006875117"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1177\/2158244020923354"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-37437-1_11"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.032307"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.7906\/indecs.13.3.1"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1186\/s40649-015-0023-6"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.3145\/epi.2018.sep.01"},{"key":"e_1_2_9_30_2","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780190694043.001.0001"},{"key":"e_1_2_9_31_2","first-page":"155","article-title":"Can self-organized criticality theory help identify political mobilization on social media?","volume":"13","author":"Barabash N.","year":"2020","journal-title":"Journal for Communication Studies"},{"key":"e_1_2_9_32_2","doi-asserted-by":"publisher","DOI":"10.1088\/0256-307X\/28\/11\/118901"},{"key":"e_1_2_9_33_2","doi-asserted-by":"crossref","unstructured":"AguileraM. MorerI. andBarandiaranX. Quantifying political self-organization in social media. Fractal patterns in the Spanish 15M movement on twitter Proceedings of the 12th European Conference on Artificial Life September 2013 Sicily Italy 395\u2013402.","DOI":"10.1162\/978-0-262-31709-2-ch057"},{"key":"e_1_2_9_34_2","doi-asserted-by":"crossref","unstructured":"KirichenkoI. BulakhV. andRadivilovaT. Fractal time series analysis of social network activities Proceedings of the IEEE 4th International Scientific-Practical Conference Problems of Infocommunications October 2017 Kharkiv Ukraine 456\u2013459 https:\/\/doi.org\/10.1109\/INFOCOMMST.2017.8246438 2-s2.0-85046010377.","DOI":"10.1109\/INFOCOMMST.2017.8246438"},{"key":"e_1_2_9_35_2","doi-asserted-by":"crossref","unstructured":"De BieT. LijffijtJ. andMesnageC. Detecting trends in twitter time series Proceedings of the IEEE 26th International Workshop on Machine Learning for Signal Processing September 2016 Salerno Italy 1\u20136 https:\/\/doi.org\/10.1109\/MLSP.2016.7738815.","DOI":"10.1109\/MLSP.2016.7738815"},{"key":"e_1_2_9_36_2","doi-asserted-by":"publisher","DOI":"10.1145\/2700060"},{"key":"e_1_2_9_37_2","doi-asserted-by":"crossref","unstructured":"RemyC. PervinN. andToriumiF. Information diffusion on twitter: everyone has its chance but all chances are not equal Proceedings of the IEEE International Conference on Signal-Image Technology and Internet-Based Systems December 2013 Kyoto Japan https:\/\/doi.org\/10.1109\/SITIS.2013.84 2-s2.0-84894150434.","DOI":"10.1109\/SITIS.2013.84"},{"key":"e_1_2_9_38_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-017-01212-0"},{"key":"e_1_2_9_39_2","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/11\/113045"},{"key":"e_1_2_9_40_2","doi-asserted-by":"crossref","unstructured":"ZhangP. WangX. andLiB. On predicting Twitter trend: factors and models Proceedings of the 2013 IEEE\/ACM International Conference on Advances in Social Networks Analysis and Mining August 2013 Niagara Falls ON Canada 1427\u20131429 https:\/\/doi.org\/10.1145\/2492517.2492576 2-s2.0-84893260877.","DOI":"10.1145\/2492517.2492576"},{"key":"e_1_2_9_41_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-20294-5_49"},{"key":"e_1_2_9_42_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jocs.2010.12.007"},{"key":"e_1_2_9_43_2","doi-asserted-by":"crossref","unstructured":"MontesinosL. Rodr\u00edguezS. J. P. OrchardM. andEyheramendyS. Sentiment analysis and prediction of events in TWITTER Proceedings of the 2015 CHILEAN Conference on Electrical Electronics Engineering Information and Communication Technologies (CHILECON) 2015 Santiago Chile 903\u2013910 https:\/\/doi.org\/10.1109\/Chilecon.2015.7404680 2-s2.0-84964874581.","DOI":"10.1109\/Chilecon.2015.7404680"},{"key":"e_1_2_9_44_2","doi-asserted-by":"crossref","unstructured":"SolerJ. M. CuarteroF. andRoblizoM. Twitter as a tool for predicting elections results Proceedings of the 2012 IEEE\/ACM International Conference on Advances in Social Networks Analysis and Mining August 2012 Istanbul Turkey 1194\u20131200 https:\/\/doi.org\/10.1109\/ASONAM.2012.206 2-s2.0-84874274917.","DOI":"10.1109\/ASONAM.2012.206"},{"key":"e_1_2_9_45_2","doi-asserted-by":"crossref","unstructured":"OyebodeO.andOrjiR. Social media and sentiment analysis: the nigeria presidential election 2019 Proceedings of the 2019 IEEE 10th Annual Information Technology Electronics and Mobile Communication Conference October 2019 Vancouver Canada 0140\u20130146 https:\/\/doi.org\/10.1109\/IEMCON.2019.8936139.","DOI":"10.1109\/IEMCON.2019.8936139"},{"key":"e_1_2_9_46_2","doi-asserted-by":"crossref","unstructured":"RamtekeJ. ShahS. GodhiaD. andShaikhA. Election result prediction using twitter sentiment analysis Proceedings of the 2016 International Conference on Inventive Computation Technologies August 2016 Coimbatore India 1\u20135 https:\/\/doi.org\/10.1109\/INVENTIVE.2016.7823280 2-s2.0-85011034383.","DOI":"10.1109\/INVENTIVE.2016.7823280"},{"key":"e_1_2_9_47_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2018.08.183"},{"key":"e_1_2_9_48_2","doi-asserted-by":"publisher","DOI":"10.1109\/mts.2019.2894472"},{"key":"e_1_2_9_49_2","doi-asserted-by":"crossref","unstructured":"WangX. TokarchukL. andPosladS. Identifying relevant event content for real-time event detection Proceedings of the 2014 IEEE\/ACM International Conference on Advances in Social Networks Analysis and Mining August 2014 Beijing China 395\u2013398 https:\/\/doi.org\/10.1109\/ASONAM.2014.6921616 2-s2.0-84911088562.","DOI":"10.1109\/ASONAM.2014.6921616"},{"key":"e_1_2_9_50_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-019-54388-4"},{"key":"e_1_2_9_51_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-017-2522-3"},{"key":"e_1_2_9_52_2","doi-asserted-by":"publisher","DOI":"10.1103\/revmodphys.80.1275"},{"key":"e_1_2_9_53_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/8750643"},{"key":"e_1_2_9_54_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13278-016-0334-0"},{"key":"e_1_2_9_55_2","volume-title":"2016 United States Presidential Election Tweet Ids, Harvard Dataverse, V3","author":"Littman J.","year":"2016"},{"key":"e_1_2_9_56_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.47.992"},{"key":"e_1_2_9_57_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.73.2162"},{"key":"e_1_2_9_58_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-018-07761-2"},{"key":"e_1_2_9_59_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-018-06930-7"},{"key":"e_1_2_9_60_2","doi-asserted-by":"publisher","DOI":"10.5210\/fm.v21i11.7090"},{"key":"e_1_2_9_61_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-019-40137-0"},{"key":"e_1_2_9_62_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.112.048701"},{"key":"e_1_2_9_63_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevx.6.021019"},{"key":"e_1_2_9_64_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.99.012323"},{"key":"e_1_2_9_65_2","doi-asserted-by":"crossref","unstructured":"LiuJ. HeZ. andHuangY. Hashtag2Vec: learning hashtag representation with relational hierarchical embedding model Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence July 2018 Stockholm Sweden 3456\u20133462 https:\/\/doi.org\/10.24963\/ijcai.2018\/480.","DOI":"10.24963\/ijcai.2018\/480"},{"key":"e_1_2_9_66_2","doi-asserted-by":"publisher","DOI":"10.3390\/e21100968"},{"key":"e_1_2_9_67_2","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0170467"},{"key":"e_1_2_9_68_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.81.015102"},{"key":"e_1_2_9_69_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2010-00229-8"},{"key":"e_1_2_9_70_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2014.06.011"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6612785.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6612785.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/6612785","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T21:42:19Z","timestamp":1723239739000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/6612785"}},"subtitle":[],"editor":[{"given":"Tingqiang","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":70,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/6612785"],"URL":"https:\/\/doi.org\/10.1155\/2021\/6612785","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2020-10-15","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-01-11","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-01-20","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"6612785"}}