{"id":"https://openalex.org/W4386845692","doi":"https://doi.org/10.1140/epjds/s13688-023-00400-x","title":"Allotaxonometry and rank-turbulence divergence: a universal instrument for comparing complex systems","display_name":"Allotaxonometry and rank-turbulence divergence: a universal instrument for comparing complex systems","publication_year":2023,"publication_date":"2023-09-19","ids":{"openalex":"https://openalex.org/W4386845692","doi":"https://doi.org/10.1140/epjds/s13688-023-00400-x"},"language":"en","primary_location":{"id":"doi:10.1140/epjds/s13688-023-00400-x","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjds/s13688-023-00400-x","pdf_url":"https://epjdatascience.springeropen.com/counter/pdf/10.1140/epjds/s13688-023-00400-x","source":{"id":"https://openalex.org/S2504380752","display_name":"EPJ Data Science","issn_l":"2193-1127","issn":["2193-1127"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPJ Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://epjdatascience.springeropen.com/counter/pdf/10.1140/epjds/s13688-023-00400-x","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040821463","display_name":"Peter Sheridan Dodds","orcid":"https://orcid.org/0000-0003-1973-8614"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]},{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Sheridan Dodds","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","Department of Computer Science, University of Vermont, Burlington, VT, 05405, USA","Santa Fe Institute, 1399 Hyde Park Rd, Santa Fe, NM, 87501, USA"],"raw_orcid":"https://orcid.org/0000-0003-1973-8614","affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]},{"raw_affiliation_string":"Department of Computer Science, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]},{"raw_affiliation_string":"Santa Fe Institute, 1399 Hyde Park Rd, Santa Fe, NM, 87501, USA","institution_ids":["https://openalex.org/I1308548392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059048502","display_name":"Joshua R. Minot","orcid":null},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joshua R. Minot","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108061846","display_name":"Michael Arnold","orcid":"https://orcid.org/0000-0002-1218-0315"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael V. Arnold","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015816708","display_name":"Thayer Alshaabi","orcid":"https://orcid.org/0000-0002-8971-4434"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thayer Alshaabi","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067816571","display_name":"Jane L. Adams","orcid":"https://orcid.org/0000-0002-7826-3500"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jane Lydia Adams","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047121345","display_name":"David Rushing Dewhurst","orcid":"https://orcid.org/0000-0001-6130-1833"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Rushing Dewhurst","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032839489","display_name":"Tyler J. Gray","orcid":"https://orcid.org/0000-0001-8160-177X"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tyler J. Gray","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","Department of Mathematics & Statistics, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012787401","display_name":"Morgan R. Frank","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morgan R. Frank","raw_affiliation_strings":["Institute for Data, Systems, and Society, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data, Systems, and Society, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078987306","display_name":"Andrew J. Reagan","orcid":"https://orcid.org/0000-0002-5907-2696"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew J. Reagan","raw_affiliation_strings":["MassMutual Data Science, Amherst, MA, 01002, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MassMutual Data Science, Amherst, MA, 01002, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002034958","display_name":"Christopher M. Danforth","orcid":"https://orcid.org/0000-0002-9857-2845"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher M. Danforth","raw_affiliation_strings":["Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","Department of Mathematics & Statistics, University of Vermont, Burlington, VT, 05405, USA"],"raw_orcid":"https://orcid.org/0000-0002-9857-2845","affiliations":[{"raw_affiliation_string":"Computational Story Lab, Vermont Complex Systems Center, MassMutual Center of Excellence for Complex Systems and Data Science, Vermont Advanced Computing Center, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, University of Vermont, Burlington, VT, 05405, USA","institution_ids":["https://openalex.org/I111236770"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5040821463"],"corresponding_institution_ids":["https://openalex.org/I111236770","https://openalex.org/I1308548392"],"apc_list":{"value":1190,"currency":"GBP","value_usd":1459},"apc_paid":{"value":1190,"currency":"GBP","value_usd":1459},"fwci":0.4855,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71106835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13083","display_name":"Advanced Text Analysis Techniques","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13083","display_name":"Advanced Text Analysis Techniques","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11147","display_name":"Misinformation and Its Impacts","score":0.9404000043869019,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.919700026512146,"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/rank","display_name":"Rank (graph theory)","score":0.7795810699462891},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7509777545928955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4875142276287079},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.45653092861175537},{"id":"https://openalex.org/keywords/popularity","display_name":"Popularity","score":0.45061057806015015},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.41817498207092285},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.34990382194519043},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32666927576065063},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.32215312123298645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31071341037750244},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.17543557286262512},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.1335112452507019},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.13206791877746582},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10737931728363037},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.10567966103553772}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7795810699462891},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7509777545928955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4875142276287079},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.45653092861175537},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.45061057806015015},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.41817498207092285},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.34990382194519043},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32666927576065063},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.32215312123298645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31071341037750244},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.17543557286262512},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.1335112452507019},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.13206791877746582},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10737931728363037},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.10567966103553772},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1140/epjds/s13688-023-00400-x","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjds/s13688-023-00400-x","pdf_url":"https://epjdatascience.springeropen.com/counter/pdf/10.1140/epjds/s13688-023-00400-x","source":{"id":"https://openalex.org/S2504380752","display_name":"EPJ Data Science","issn_l":"2193-1127","issn":["2193-1127"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPJ Data Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ce496aa890414b56895797366b58c888","is_oa":true,"landing_page_url":"https://doaj.org/article/ce496aa890414b56895797366b58c888","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EPJ Data Science, Vol 12, Iss 1, Pp 1-42 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1140/epjds/s13688-023-00400-x","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjds/s13688-023-00400-x","pdf_url":"https://epjdatascience.springeropen.com/counter/pdf/10.1140/epjds/s13688-023-00400-x","source":{"id":"https://openalex.org/S2504380752","display_name":"EPJ Data Science","issn_l":"2193-1127","issn":["2193-1127"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPJ Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G561869215","display_name":"RII Track-1: Harnessing the Data Revolution for Vermont: The Science of Online Corpora, Knowledge, and Stories (SOCKS)","funder_award_id":"2242829","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386845692.pdf"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W1500871507","https://openalex.org/W1551940242","https://openalex.org/W1808906688","https://openalex.org/W1885446499","https://openalex.org/W1921398205","https://openalex.org/W1975394674","https://openalex.org/W1987786535","https://openalex.org/W1990746682","https://openalex.org/W1990768402","https://openalex.org/W2008620264","https://openalex.org/W2021581601","https://openalex.org/W2022792389","https://openalex.org/W2022825068","https://openalex.org/W2029203225","https://openalex.org/W2036671379","https://openalex.org/W2038411619","https://openalex.org/W2041057317","https://openalex.org/W2064178288","https://openalex.org/W2086737336","https://openalex.org/W2090618725","https://openalex.org/W2090696193","https://openalex.org/W2090933635","https://openalex.org/W2091237594","https://openalex.org/W2101884974","https://openalex.org/W2107274838","https://openalex.org/W2112786829","https://openalex.org/W2120474334","https://openalex.org/W2130167023","https://openalex.org/W2134567622","https://openalex.org/W2140971659","https://openalex.org/W2150070703","https://openalex.org/W2167554921","https://openalex.org/W2171783890","https://openalex.org/W2272138717","https://openalex.org/W2312217865","https://openalex.org/W2469055036","https://openalex.org/W2487525602","https://openalex.org/W2514506604","https://openalex.org/W2766766691","https://openalex.org/W2768343520","https://openalex.org/W2776803487","https://openalex.org/W2914783728","https://openalex.org/W2942602355","https://openalex.org/W2950627632","https://openalex.org/W2963355221","https://openalex.org/W2963795346","https://openalex.org/W2964202302","https://openalex.org/W2969710575","https://openalex.org/W2979307260","https://openalex.org/W2993383518","https://openalex.org/W3045117433","https://openalex.org/W3047315229","https://openalex.org/W3049743830","https://openalex.org/W3100779964","https://openalex.org/W3103495012","https://openalex.org/W3134723485","https://openalex.org/W4214597414","https://openalex.org/W4224281327","https://openalex.org/W4248343126","https://openalex.org/W4256046779","https://openalex.org/W4300059230"],"related_works":["https://openalex.org/W2368605798","https://openalex.org/W2518037665","https://openalex.org/W2348524959","https://openalex.org/W2477036161","https://openalex.org/W2368049389","https://openalex.org/W2384861574","https://openalex.org/W4294565801","https://openalex.org/W2170801710","https://openalex.org/W2952704802","https://openalex.org/W2741781807"],"abstract_inverted_index":{"Abstract":[0],"Complex":[1],"systems":[2],"often":[3],"comprise":[4],"many":[5,12],"kinds":[6],"of":[7,14,19,62,73,93,103,112,118,148,158],"components":[8,94],"which":[9,81,106,151],"vary":[10],"over":[11],"orders":[13],"magnitude":[15],"in":[16,21,27,31,35,41,70,127,137],"size:":[17],"Populations":[18],"cities":[20],"countries,":[22],"individual":[23],"and":[24,38,75,126,141,155],"corporate":[25],"wealth":[26],"economies,":[28],"species":[29,129],"abundance":[30],"ecologies,":[32],"word":[33],"frequency":[34],"natural":[36],"language,":[37],"node":[39],"degree":[40],"complex":[42],"networks.":[43],"Here,":[44],"we":[45,107],"introduce":[46],"\u2018allotaxonometry\u2019":[47],"along":[48],"with":[49,89],"\u2018rank-turbulence":[50],"divergence\u2019":[51],"(RTD),":[52],"a":[53,71,78,83,116,146],"tunable":[54],"instrument":[55,111],"for":[56,86,115],"comparing":[57],"any":[58],"two":[59],"ranked":[60],"lists":[61],"components.":[63],"We":[64,99,144],"analytically":[65],"develop":[66],"our":[67],"rank-based":[68,79,159],"divergence":[69,97],"series":[72,117,147],"steps,":[74],"then":[76],"establish":[77],"allotaxonograph":[80],"pairs":[82,88],"map-like":[84],"histogram":[85],"rank-rank":[87],"an":[90,110],"ordered":[91],"list":[92],"according":[95],"to":[96],"contribution.":[98],"explore":[100],"the":[101,153],"performance":[102,136],"rank-turbulence":[104],"divergence,":[105],"view":[108],"as":[109],"\u2018type":[113],"calculus\u2019,":[114],"distinct":[119],"settings":[120],"including:":[121],"Language":[122],"use":[123],"on":[124],"Twitter":[125],"books,":[128],"abundance,":[130],"baby":[131],"name":[132],"popularity,":[133],"market":[134],"capitalization,":[135],"sports,":[138],"mortality":[139],"causes,":[140],"job":[142],"titles.":[143],"provide":[145],"supplementary":[149],"flipbooks":[150],"demonstrate":[152],"tunability":[154],"storytelling":[156],"power":[157],"allotaxonometry.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
