{"id":"https://openalex.org/W4389611785","doi":"https://doi.org/10.1155/2023/3315750","title":"Twitter Self-Organization to the Edge of a Phase Transition: Discrete-Time Model and Effective Early Warning Signals in Phase Space","display_name":"Twitter Self-Organization to the Edge of a Phase Transition: Discrete-Time Model and Effective Early Warning Signals in Phase Space","publication_year":2023,"publication_date":"2023-12-12","ids":{"openalex":"https://openalex.org/W4389611785","doi":"https://doi.org/10.1155/2023/3315750"},"language":"en","primary_location":{"id":"doi:10.1155/2023/3315750","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/3315750","pdf_url":"https://downloads.hindawi.com/journals/complexity/2023/3315750.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2023/3315750.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079958329","display_name":"Dmitriev Av","orcid":"https://orcid.org/0000-0002-7092-9101"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210086410","display_name":"Universidad Bernardo O'Higgins","ror":"https://ror.org/00x0xhn70","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210086410"]}],"countries":["CL","RU"],"is_corresponding":true,"raw_author_name":"Andrey Dmitriev","raw_affiliation_strings":["Big Data and Information Retrieval School, HSE University, Moscow, Russia","Cybersecurity Research Center, University of Bernardo O\u2019Higgins, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Big Data and Information Retrieval School, HSE University, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]},{"raw_affiliation_string":"Cybersecurity Research Center, University of Bernardo O\u2019Higgins, Santiago, Chile","institution_ids":["https://openalex.org/I4210086410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102886944","display_name":"A.N. Lebedev","orcid":"https://orcid.org/0000-0002-8195-5241"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Andrey Lebedev","raw_affiliation_strings":["Big Data and Information Retrieval School, HSE University, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Big Data and Information Retrieval School, HSE University, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064583036","display_name":"Vasily Kornilov","orcid":"https://orcid.org/0000-0003-4263-5445"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vasily Kornilov","raw_affiliation_strings":["Graduate School of Business, HSE University, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Graduate School of Business, HSE University, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102921652","display_name":"Victor Dmitriev","orcid":"https://orcid.org/0000-0003-1544-6462"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Victor Dmitriev","raw_affiliation_strings":["Big Data and Information Retrieval School, HSE University, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Big Data and Information Retrieval School, HSE University, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079958329"],"corresponding_institution_ids":["https://openalex.org/I118501908","https://openalex.org/I4210086410"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.9848,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74555577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2023","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9968000054359436,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9968000054359436,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9936000108718872,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/warning-system","display_name":"Warning system","score":0.5794705748558044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5661935210227966},{"id":"https://openalex.org/keywords/edge-of-chaos","display_name":"Edge of chaos","score":0.549162745475769},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.5289730429649353},{"id":"https://openalex.org/keywords/self-organization","display_name":"Self-organization","score":0.521252453327179},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5210608839988708},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.514270007610321},{"id":"https://openalex.org/keywords/transition","display_name":"Transition (genetics)","score":0.46139904856681824},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.42002496123313904},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3527722954750061},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32861655950546265},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27393823862075806},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22036081552505493},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18650925159454346}],"concepts":[{"id":"https://openalex.org/C29825287","wikidata":"https://www.wikidata.org/wiki/Q1427940","display_name":"Warning system","level":2,"score":0.5794705748558044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5661935210227966},{"id":"https://openalex.org/C2780713532","wikidata":"https://www.wikidata.org/wiki/Q93158","display_name":"Edge of chaos","level":2,"score":0.549162745475769},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5289730429649353},{"id":"https://openalex.org/C106960710","wikidata":"https://www.wikidata.org/wiki/Q609408","display_name":"Self-organization","level":2,"score":0.521252453327179},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5210608839988708},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.514270007610321},{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.46139904856681824},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.42002496123313904},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3527722954750061},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32861655950546265},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27393823862075806},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22036081552505493},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18650925159454346},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2023/3315750","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/3315750","pdf_url":"https://downloads.hindawi.com/journals/complexity/2023/3315750.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:3315750","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2023/3315750.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:aa71bee8d5cd49c889e9b07450a22c0d","is_oa":true,"landing_page_url":"https://doaj.org/article/aa71bee8d5cd49c889e9b07450a22c0d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2023 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2023/3315750","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/3315750","pdf_url":"https://downloads.hindawi.com/journals/complexity/2023/3315750.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4389611785.pdf"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1003506","https://openalex.org/W210359992","https://openalex.org/W1973581223","https://openalex.org/W1973837274","https://openalex.org/W2000356602","https://openalex.org/W2075514521","https://openalex.org/W2086117107","https://openalex.org/W2116199452","https://openalex.org/W2145866890","https://openalex.org/W2157107475","https://openalex.org/W2289705509","https://openalex.org/W2429911334","https://openalex.org/W2576000296","https://openalex.org/W2791269010","https://openalex.org/W2889032177","https://openalex.org/W2901261925","https://openalex.org/W2914549800","https://openalex.org/W2995393714","https://openalex.org/W2999172976","https://openalex.org/W3028014964","https://openalex.org/W3033533193","https://openalex.org/W3041541452","https://openalex.org/W3091318058","https://openalex.org/W3104330980","https://openalex.org/W3121583836","https://openalex.org/W3134460066","https://openalex.org/W3163316463","https://openalex.org/W3179409925","https://openalex.org/W3199954263","https://openalex.org/W3208147999","https://openalex.org/W4200447455","https://openalex.org/W4206137506","https://openalex.org/W4210451622","https://openalex.org/W4220706185","https://openalex.org/W4225383412","https://openalex.org/W4226257702","https://openalex.org/W4229369233","https://openalex.org/W4249946332","https://openalex.org/W4280639656","https://openalex.org/W4289942637","https://openalex.org/W4292403523","https://openalex.org/W4296242411","https://openalex.org/W4296741604","https://openalex.org/W4298086570","https://openalex.org/W4299429830","https://openalex.org/W4321018619","https://openalex.org/W4367841058","https://openalex.org/W4380442874","https://openalex.org/W4380990963","https://openalex.org/W4385881419","https://openalex.org/W4386963985","https://openalex.org/W4398575659"],"related_works":["https://openalex.org/W2587880134","https://openalex.org/W1865758872","https://openalex.org/W4240235232","https://openalex.org/W2065813648","https://openalex.org/W2387185360","https://openalex.org/W1555991356","https://openalex.org/W1489825438","https://openalex.org/W197002268","https://openalex.org/W1979058254","https://openalex.org/W2369231751"],"abstract_inverted_index":{"Many":[0],"real-world":[1],"systems":[2,186,287,290],"of":[3,8,13,29,47,60,65,94,97,105,110,122,125,130,140,174,179,181,206,218,225,236,255,284,302],"various":[4],"origins":[5],"are":[6,215,269,276],"capable":[7],"self-organization":[9,49,61,78,89,180,189,202,221,298],"to":[10,39,62,101,136,165,203,299],"the":[11,27,42,63,87,92,95,102,106,111,116,120,123,133,137,141,149,157,161,172,196,204,219,223,234,242,249,252,280,289,300],"edge":[12,64,205,235,301],"a":[14,66,207,237,303],"phase":[15,67,112,208,238,304],"transition,":[16],"characterized":[17],"by":[18,25,37,115],"avalanche-like":[19],"behavior.":[20],"Therefore,":[21],"it":[22],"is":[23,193,211],"important,":[24],"observing":[26],"behavior":[28,96],"early":[30,43,177,257,285],"warning":[31,44,258,286],"measures":[32,98,109,175,250,263],"for":[33,76,86,119,176,200,265,288,294],"dynamical":[34],"series":[35,121],"generated":[36],"systems,":[38,268],"timely":[40],"see":[41],"signals":[45],"(precursors)":[46],"such":[48],"and,":[50],"if":[51],"necessary,":[52],"take":[53],"preventive":[54],"measures.":[55],"To":[56],"date,":[57],"convincing":[58],"evidence":[59],"transition":[68,239],"has":[69],"been":[70,80],"obtained,":[71],"but":[72],"no":[73],"effective":[74,246],"precursors":[75,85],"this":[77,167],"have":[79],"found.":[81],"This":[82],"research":[83],"explores":[84],"Twitter":[88,201,220,231],"based":[90],"on":[91],"analysis":[93],"directly":[99],"related":[100],"critical":[103],"slowdown":[104],"network":[107,126],"and":[108,230,264,271,282],"space":[113],"reconstructed":[114],"Takens":[117],"method":[118],"number":[124,254],"users":[127],"creating":[128],"avalanches":[129],"retweets":[131],"in":[132,195,279],"network,":[134],"corresponding":[135],"three":[138],"debates":[139,228],"2016":[142],"United":[143],"States":[144],"Presidential":[145],"Election.":[146],"We":[147],"hydrated":[148],"relevant":[150],"Tweet":[151],"IDs,":[152],"which":[153],"were":[154],"obtained":[155],"from":[156],"Harvard":[158],"Dataverse":[159],"using":[160],"Social":[162],"Feed":[163],"Manager,":[164],"form":[166],"series.":[168],"Preliminarily,":[169],"we":[170],"explore":[171],"potential":[173],"detection":[178],"sandpile":[182,295],"cellular":[183,296],"automata":[184,297],"as":[185,248],"with":[187,251,291],"Twitter-equivalent":[188],"mechanisms.":[190],"The":[191,245],"equivalence":[192],"justified":[194],"proposed":[197],"discrete-time":[198],"model":[199],"transition.":[209,305],"It":[210],"found":[212],"that":[213],"there":[214],"more":[216],"moments":[217,224],"than":[222,241],"time":[226],"when":[227],"started,":[229],"stays":[232],"at":[233],"longer":[240],"debate":[243],"lasts.":[244],"measures,":[247],"lowest":[253],"false":[256],"signals,":[259],"among":[260],"all":[261,266],"studied":[262,267],"dispersion":[270],"correlation":[272],"dimension.":[273],"Obtained":[274],"results":[275],"practically":[277],"important":[278],"design":[281],"implementation":[283],"similar":[292],"mechanisms":[293]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
