{"id":"https://openalex.org/W3198953255","doi":"https://doi.org/10.3390/e23091220","title":"Stochastic Chaos and Markov Blankets","display_name":"Stochastic Chaos and Markov Blankets","publication_year":2021,"publication_date":"2021-09-17","ids":{"openalex":"https://openalex.org/W3198953255","doi":"https://doi.org/10.3390/e23091220","mag":"3198953255","pmid":"https://pubmed.ncbi.nlm.nih.gov/34573845"},"language":"en","primary_location":{"id":"doi:10.3390/e23091220","doi":"https://doi.org/10.3390/e23091220","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23091220","pdf_url":"https://www.mdpi.com/1099-4300/23/9/1220/pdf?version=1632369374","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/9/1220/pdf?version=1632369374","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086852785","display_name":"Karl John Friston","orcid":"https://orcid.org/0000-0001-7984-8909","observed_orcids":["https://orcid.org/0000-0001-7984-8909"]},"institutions":[{"id":"https://openalex.org/I165524941","display_name":"Wellcome Centre for Human Neuroimaging","ror":"https://ror.org/02704qw51","country_code":"GB","type":"facility","lineage":["https://openalex.org/I124357947","https://openalex.org/I165524941","https://openalex.org/I45129253","https://openalex.org/I87048295"]},{"id":"https://openalex.org/I4405260083","display_name":"UCL Queen Square Institute of Neurology","ror":"https://ror.org/0370htr03","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I4405260083","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Karl Friston","raw_affiliation_strings":["Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK"],"raw_orcid":"https://orcid.org/0000-0001-7984-8909","affiliations":[{"raw_affiliation_string":"Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK","institution_ids":["https://openalex.org/I165524941","https://openalex.org/I4405260083","https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026661010","display_name":"Conor Heins","orcid":"https://orcid.org/0000-0002-5884-7728","observed_orcids":["https://orcid.org/0000-0002-5884-7728"]},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]},{"id":"https://openalex.org/I4210114058","display_name":"Max Planck Institute of Animal Behavior","ror":"https://ror.org/026stee22","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210114058"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Conor Heins","raw_affiliation_strings":["Centre for the Advanced Study of Collective Behaviour, 78457 Konstanz, Germany","Department of Biology, University of Konstanz, 78457 Konstanz, Germany","Department of Collective Behaviour, Max Planck Institute of Animal Behavior, 78457 Konstanz, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for the Advanced Study of Collective Behaviour, 78457 Konstanz, Germany","institution_ids":["https://openalex.org/I189712700"]},{"raw_affiliation_string":"Department of Biology, University of Konstanz, 78457 Konstanz, Germany","institution_ids":["https://openalex.org/I189712700"]},{"raw_affiliation_string":"Department of Collective Behaviour, Max Planck Institute of Animal Behavior, 78457 Konstanz, Germany","institution_ids":["https://openalex.org/I4210114058"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081794445","display_name":"Kai J. Ueltzh\u00f6ffer","orcid":"https://orcid.org/0000-0002-0507-7598","observed_orcids":["https://orcid.org/0000-0002-0507-7598"]},"institutions":[{"id":"https://openalex.org/I165524941","display_name":"Wellcome Centre for Human Neuroimaging","ror":"https://ror.org/02704qw51","country_code":"GB","type":"facility","lineage":["https://openalex.org/I124357947","https://openalex.org/I165524941","https://openalex.org/I45129253","https://openalex.org/I87048295"]},{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]},{"id":"https://openalex.org/I4405260083","display_name":"UCL Queen Square Institute of Neurology","ror":"https://ror.org/0370htr03","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I4405260083","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Kai Ueltzh\u00f6ffer","raw_affiliation_strings":["Department of General Psychiatry, Centre of Psychosocial Medicine, Heidelberg University, Vo\u00dfstra\u00dfe 2, 69115 Heidelberg, Germany","Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of General Psychiatry, Centre of Psychosocial Medicine, Heidelberg University, Vo\u00dfstra\u00dfe 2, 69115 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK","institution_ids":["https://openalex.org/I165524941","https://openalex.org/I4405260083","https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087108547","display_name":"Lancelot Da Costa","orcid":"https://orcid.org/0000-0003-0126-4588","observed_orcids":["https://orcid.org/0000-0003-0126-4588"]},"institutions":[{"id":"https://openalex.org/I165524941","display_name":"Wellcome Centre for Human Neuroimaging","ror":"https://ror.org/02704qw51","country_code":"GB","type":"facility","lineage":["https://openalex.org/I124357947","https://openalex.org/I165524941","https://openalex.org/I45129253","https://openalex.org/I87048295"]},{"id":"https://openalex.org/I4405260083","display_name":"UCL Queen Square Institute of Neurology","ror":"https://ror.org/0370htr03","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I4405260083","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lancelot Da Costa","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London SW7 2AZ, UK","Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK"],"raw_orcid":"https://orcid.org/0000-0003-0126-4588","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK","institution_ids":["https://openalex.org/I165524941","https://openalex.org/I4405260083","https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023659945","display_name":"Thomas Parr","orcid":"https://orcid.org/0000-0001-5108-5743","observed_orcids":["https://orcid.org/0000-0001-5108-5743"]},"institutions":[{"id":"https://openalex.org/I165524941","display_name":"Wellcome Centre for Human Neuroimaging","ror":"https://ror.org/02704qw51","country_code":"GB","type":"facility","lineage":["https://openalex.org/I124357947","https://openalex.org/I165524941","https://openalex.org/I45129253","https://openalex.org/I87048295"]},{"id":"https://openalex.org/I4405260083","display_name":"UCL Queen Square Institute of Neurology","ror":"https://ror.org/0370htr03","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I4405260083","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Parr","raw_affiliation_strings":["Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK"],"raw_orcid":"https://orcid.org/0000-0001-5108-5743","affiliations":[{"raw_affiliation_string":"Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK","institution_ids":["https://openalex.org/I165524941","https://openalex.org/I4405260083","https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5026661010"],"corresponding_institution_ids":["https://openalex.org/I189712700","https://openalex.org/I4210114058"],"apc_list":{"value":1800,"currency":"CHF","value_usd":1944},"apc_paid":{"value":1800,"currency":"CHF","value_usd":1944},"fwci":4.3432,"has_fulltext":true,"cited_by_count":57,"citation_normalized_percentile":{"value":0.95759118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"23","issue":"9","first_page":"1220","last_page":"1220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.47920000553131104,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.47920000553131104,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.22130000591278076,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.07810000330209732,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-chaos","display_name":"stochastic chaos","score":0.781000018119812},{"id":"https://openalex.org/keywords/markov-blanket","display_name":"Markov blanket","score":0.9399999976158142},{"id":"https://openalex.org/keywords/random-dynamical-systems","display_name":"random dynamical systems","score":0.8730000257492065},{"id":"https://openalex.org/keywords/conditional-independence","display_name":"conditional independence","score":0.8429999947547913},{"id":"https://openalex.org/keywords/non-equilibrium-steady-state","display_name":"nonequilibrium steady states","score":0.902999997138977},{"id":"https://openalex.org/keywords/information-geometry","display_name":"information geometry","score":0.8190000057220459},{"id":"https://openalex.org/keywords/sentience","display_name":"sentience","score":0.6819999814033508},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.7829999923706055},{"id":"https://openalex.org/keywords/helmholtz-decomposition","display_name":"Helmholtz decomposition","score":0.9539999961853027},{"id":"https://openalex.org/keywords/self-information","display_name":"self-information","score":0.7590000033378601},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.7250000238418579}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.605285108089447},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5979639887809753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5082147121429443},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.47799912095069885},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4170836806297302},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35406064987182617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23945963382720947},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11523783206939697},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11245161294937134}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e23091220","doi":"https://doi.org/10.3390/e23091220","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23091220","pdf_url":"https://www.mdpi.com/1099-4300/23/9/1220/pdf?version=1632369374","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:34573845","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34573845","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":"Journal Article"},{"id":"pmh:oai:kops.uni-konstanz.de:123456789/55184","doi":null,"is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1hbwftgeuarj67","pdf_url":"https://kops.uni-konstanz.de/server/api/core/bitstreams/c59657ba-0222-4760-a590-80630f89adb0/content","source":{"id":"https://openalex.org/S4306401487","display_name":"KOPS (University of Konstanz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I189712700","host_organization_name":"University of Konstanz","host_organization_lineage":["https://openalex.org/I189712700"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy. MDPI. 2021, 23(9), 1220. eISSN 1099-4300. Verf\u00fcgbar unter: doi: 10.3390/e23091220","raw_type":"doc-type:article"},{"id":"pmh:oai:europepmc.org:7354360","doi":null,"is_oa":true,"landing_page_url":"http://europepmc.org/pmc/articles/PMC8465859","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8465859","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8465859","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:45c171ab0ce34c1dbd8df47cb674c8f5","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/45c171ab0ce34c1dbd8df47cb674c8f5","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,"listed_in":[],"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":"Entropy, Vol 23, Iss 9, p 1220 (2021)","raw_type":"article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10135151","doi":null,"is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10135151/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy , 23 (9) , Article 1220. (2021)","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.3390/e23091220","doi":"https://doi.org/10.3390/e23091220","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23091220","pdf_url":"https://www.mdpi.com/1099-4300/23/9/1220/pdf?version=1632369374","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Reduced inequalities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G2057323907","display_name":null,"funder_award_id":"N00014\u201019\u20101\u20102556","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5219811229","display_name":null,"funder_award_id":"088130/Z/09/Z","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6778527497","display_name":"EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and Simulation","funder_award_id":"EP/S023925/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7580634187","display_name":null,"funder_award_id":"13568875","funder_id":"https://openalex.org/F4320321038","funder_display_name":"Fonds National de la Recherche Luxembourg"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G969322555","display_name":"Functional architectures in the brain.","funder_award_id":"088130/Z/09/Z","funder_id":"https://openalex.org/F4320311904","funder_display_name":"Wellcome Trust"}],"funders":[{"id":"https://openalex.org/F4320311904","display_name":"Wellcome Trust","ror":"https://ror.org/029chgv08"},{"id":"https://openalex.org/F4320320320","display_name":"Rosetrees Trust","ror":"https://ror.org/04e3zg361"},{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3198953255.pdf","grobid_xml":"https://content.openalex.org/works/W3198953255.grobid-xml"},"referenced_works_count":85,"referenced_works":["https://openalex.org/W1507559799","https://openalex.org/W1521482430","https://openalex.org/W1524895715","https://openalex.org/W1545319692","https://openalex.org/W1863658077","https://openalex.org/W1944446569","https://openalex.org/W1970635916","https://openalex.org/W1970789124","https://openalex.org/W1971123690","https://openalex.org/W1971590601","https://openalex.org/W1971715144","https://openalex.org/W1973219195","https://openalex.org/W1977226459","https://openalex.org/W1980230793","https://openalex.org/W1983249679","https://openalex.org/W1988345319","https://openalex.org/W1988825529","https://openalex.org/W1990704793","https://openalex.org/W2000867087","https://openalex.org/W2004652753","https://openalex.org/W2024149692","https://openalex.org/W2030308994","https://openalex.org/W2046896400","https://openalex.org/W2047676282","https://openalex.org/W2051559608","https://openalex.org/W2052800549","https://openalex.org/W2054402839","https://openalex.org/W2055789905","https://openalex.org/W2060458267","https://openalex.org/W2063618362","https://openalex.org/W2070430318","https://openalex.org/W2070813962","https://openalex.org/W2073696559","https://openalex.org/W2079392076","https://openalex.org/W2083200102","https://openalex.org/W2086845400","https://openalex.org/W2087039607","https://openalex.org/W2090816344","https://openalex.org/W2092402478","https://openalex.org/W2098398123","https://openalex.org/W2100495367","https://openalex.org/W2102277728","https://openalex.org/W2102409316","https://openalex.org/W2105714874","https://openalex.org/W2113257799","https://openalex.org/W2114849571","https://openalex.org/W2125605221","https://openalex.org/W2130195834","https://openalex.org/W2133222526","https://openalex.org/W2134398909","https://openalex.org/W2135100787","https://openalex.org/W2137856740","https://openalex.org/W2138540872","https://openalex.org/W2141394518","https://openalex.org/W2149801992","https://openalex.org/W2156358825","https://openalex.org/W2163460643","https://openalex.org/W2171462472","https://openalex.org/W2181100392","https://openalex.org/W2218862333","https://openalex.org/W2222544412","https://openalex.org/W2266355581","https://openalex.org/W2765128778","https://openalex.org/W2775713803","https://openalex.org/W2805461723","https://openalex.org/W2887950972","https://openalex.org/W2919115771","https://openalex.org/W2948671028","https://openalex.org/W2950407062","https://openalex.org/W2962792453","https://openalex.org/W2980655938","https://openalex.org/W2996530576","https://openalex.org/W3006501067","https://openalex.org/W3037676004","https://openalex.org/W3048600509","https://openalex.org/W3102147511","https://openalex.org/W3104310224","https://openalex.org/W3105907531","https://openalex.org/W3121698465","https://openalex.org/W3135899442","https://openalex.org/W3164210596","https://openalex.org/W3174962106","https://openalex.org/W4238209390","https://openalex.org/W4249316902","https://openalex.org/W4292366057"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W2787993192","https://openalex.org/W1006270037","https://openalex.org/W3152686072","https://openalex.org/W2158269427","https://openalex.org/W3129238073","https://openalex.org/W4381280689","https://openalex.org/W2847365777","https://openalex.org/W2056274461"],"abstract_inverted_index":{"In":[0,53],"this":[1,55,156],"treatment":[2],"of":[3,23,40,50,63,79,85,101,117,143,149,158,169],"random":[4],"dynamical":[5],"systems,":[6],"we":[7,104],"consider":[8],"the":[9,47,77,82,86,95,99,106,112,130,134],"existence-and":[10],"identification-of":[11],"conditional":[12],"independencies":[13,18],"at":[14],"nonequilibrium":[15],"steady-state.":[16],"These":[17],"underwrite":[19],"a":[20,61,144,162],"particular":[21],"partition":[22],"states,":[24],"in":[25,115,141,174],"which":[26],"internal":[27,51,66,137],"states":[28,34,67,140],"are":[29,72],"statistically":[30],"secluded":[31],"from":[32],"external":[33,74,139],"by":[35,153],"blanket":[36],"states.":[37,52,75],"The":[38],"existence":[39,78],"such":[41,80],"partitions":[42],"has":[43],"interesting":[44],"implications":[45],"for":[46,165],"information":[48],"geometry":[49,56],"brief,":[54],"can":[57,127],"be":[58,91,128],"read":[59],"as":[60,69,98],"physics":[62],"sentience,":[64],"where":[65],"look":[68],"if":[70],"they":[71],"inferring":[73],"However,":[76],"partitions-and":[81],"functional":[83],"form":[84,168],"underlying":[87],"densities-have":[88],"yet":[89],"to":[90],"established.":[92],"Here,":[93],"using":[94],"Lorenz":[96],"system":[97],"basis":[100,164],"stochastic":[102],"chaos,":[103],"leverage":[105],"Helmholtz":[107],"decomposition-and":[108],"polynomial":[109],"expansions-to":[110],"parameterise":[111],"steady-state":[113],"density":[114],"terms":[116,142],"surprisal":[118],"or":[119,147,171],"self-information.":[120],"We":[121,151],"then":[122],"show":[123],"how":[124],"Markov":[125],"blankets":[126],"identified-using":[129],"accompanying":[131],"Hessian-to":[132],"characterise":[133],"coupling":[135],"between":[136],"and":[138],"generalised":[145],"synchrony":[146],"synchronisation":[148,159],"chaos.":[150],"conclude":[152],"suggesting":[154],"that":[155],"kind":[157],"may":[160],"provide":[161],"mathematical":[163],"an":[166],"elemental":[167],"(autonomous":[170],"active)":[172],"sentience":[173],"biology.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-10-21T09:56:26.102985","created_date":"2025-10-10T00:00:00"}