{"id":"https://openalex.org/W1997118233","doi":"https://doi.org/10.1016/0550-3213(87)90291-4","title":"The critical dimension for chaotic cosmology","display_name":"The critical dimension for chaotic cosmology","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W1997118233","doi":"https://doi.org/10.1016/0550-3213(87)90291-4","mag":"1997118233"},"language":"en","primary_location":{"id":"doi:10.1016/0550-3213(87)90291-4","doi":"https://doi.org/10.1016/0550-3213(87)90291-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0550-3213(87)90291-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210194812","display_name":"Nuclear Physics B","issn_l":"0550-3213","issn":["0550-3213","1873-1562"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-2","oarl","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nuclear Physics B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065537871","display_name":"Akio Hosoya","orcid":"https://orcid.org/0000-0001-8468-4208","observed_orcids":["https://orcid.org/0000-0001-8468-4208"]},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Akio Hosoya","raw_affiliation_strings":["Theoretical Astrophysics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Astrophysics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053214761","display_name":"Lars Gerhard Jensen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lars Gerhard Jensen","raw_affiliation_strings":["Theoretical Astrophysics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Astrophysics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111837075","display_name":"Jaime A. Stein\u2010Schabes","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jaime A. Stein-Schabes","raw_affiliation_strings":["Theoretical Astrophysics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Astrophysics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1314696892"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":11.9763,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.98496944,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"283","issue":null,"first_page":"657","last_page":"668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.8095999956130981,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.8095999956130981,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.04639999940991402,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11960","display_name":"Relativity and Gravitational Theory","score":0.04050000011920929,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/critical-dimension","display_name":"critical dimension","score":0.7039999961853027},{"id":"https://openalex.org/keywords/spacetime-singularities","display_name":"spacetime singularities","score":0.7879999876022339},{"id":"https://openalex.org/keywords/inhomogeneous-universe","display_name":"inhomogeneous universe","score":0.7549999952316284},{"id":"https://openalex.org/keywords/higher-dimensional-general-relativity","display_name":"higher-dimensional general relativity","score":0.6570000052452087},{"id":"https://openalex.org/keywords/einstein-field-equations","display_name":"Einstein field equations","score":0.5910000205039978},{"id":"https://openalex.org/keywords/initial-singularity","display_name":"initial singularity","score":0.7519999742507935},{"id":"https://openalex.org/keywords/adm-formalism","display_name":"ADM formalism","score":0.6990000009536743}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8200570344924927},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.8008010983467102},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6517133712768555},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6382634043693542},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.6276144981384277},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.6232823729515076},{"id":"https://openalex.org/C93315710","wikidata":"https://www.wikidata.org/wiki/Q4235042","display_name":"Initial singularity","level":4,"score":0.569139301776886},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5486687421798706},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5029148459434509},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5007400512695312},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48357149958610535},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.45739778876304626},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4474051296710968},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.4169617295265198},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.3618226647377014},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35796457529067993},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33781468868255615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20791682600975037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19752514362335205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18391332030296326},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09974035620689392},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08634692430496216},{"id":"https://openalex.org/C19262093","wikidata":"https://www.wikidata.org/wiki/Q3036474","display_name":"De Sitter universe","level":3,"score":0.07550910115242004},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","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},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0550-3213(87)90291-4","doi":"https://doi.org/10.1016/0550-3213(87)90291-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0550-3213(87)90291-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210194812","display_name":"Nuclear Physics B","issn_l":"0550-3213","issn":["0550-3213","1873-1562"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-2","oarl","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nuclear Physics B","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W119088996","https://openalex.org/W251992919","https://openalex.org/W1549763458","https://openalex.org/W1986014228","https://openalex.org/W2022011473","https://openalex.org/W2029403139","https://openalex.org/W2033207442","https://openalex.org/W2048737175","https://openalex.org/W2091464602","https://openalex.org/W2124072792","https://openalex.org/W2794162265","https://openalex.org/W2992431360"],"related_works":["https://openalex.org/W2055489359","https://openalex.org/W2046774403","https://openalex.org/W2056385074","https://openalex.org/W2015271814","https://openalex.org/W2008768529","https://openalex.org/W3186566177","https://openalex.org/W4234039211","https://openalex.org/W3112434112","https://openalex.org/W2608576695","https://openalex.org/W3003297398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}