{"id":"https://openalex.org/W2772536570","doi":"https://doi.org/10.3390/e20010026","title":"Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence","display_name":"Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence","publication_year":2018,"publication_date":"2018-01-04","ids":{"openalex":"https://openalex.org/W2772536570","doi":"https://doi.org/10.3390/e20010026","mag":"2772536570","pmid":"https://pubmed.ncbi.nlm.nih.gov/33265115"},"language":"en","primary_location":{"id":"doi:10.3390/e20010026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20010026","pdf_url":"https://www.mdpi.com/1099-4300/20/1/26/pdf?version=1515053323","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,"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"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/20/1/26/pdf?version=1515053323","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Rui Perdig\u00e3o","orcid":"https://orcid.org/0000-0001-5543-1754"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Rui Perdig\u00e3o","raw_affiliation_strings":["Institute of Hydraulic Engineering, Technische Universit\u00e4t Wien (TU Wien), Karlsplatz 13/222, 1040 Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0001-5543-1754","affiliations":[{"raw_affiliation_string":"Institute of Hydraulic Engineering, Technische Universit\u00e4t Wien (TU Wien), Karlsplatz 13/222, 1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.6531,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.65574913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"1","first_page":"26","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.47130000591278076,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.47130000591278076,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.38100001215934753,"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/T12643","display_name":"Sustainability and Ecological Systems Analysis","score":0.04500000178813934,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"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/observable","display_name":"Observable","score":0.7354999780654907},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6136999726295471},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5666999816894531},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.555899977684021},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.4894999861717224},{"id":"https://openalex.org/keywords/microscale-chemistry","display_name":"Microscale chemistry","score":0.48069998621940613},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.4733999967575073},{"id":"https://openalex.org/keywords/transfer-entropy","display_name":"Transfer entropy","score":0.40639999508857727}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.7354999780654907},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6916999816894531},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6136999726295471},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5666999816894531},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.555899977684021},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.4894999861717224},{"id":"https://openalex.org/C179428855","wikidata":"https://www.wikidata.org/wiki/Q1069216","display_name":"Microscale chemistry","level":2,"score":0.48069998621940613},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.4733999967575073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41429999470710754},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.40639999508857727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3982999920845032},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.38749998807907104},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.3788999915122986},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.32030001282691956},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.31310001015663147},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3118000030517578},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.3018999993801117},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.2969000041484833},{"id":"https://openalex.org/C92424840","wikidata":"https://www.wikidata.org/wiki/Q7912772","display_name":"Value of information","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2703999876976013},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26759999990463257}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e20010026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20010026","pdf_url":"https://www.mdpi.com/1099-4300/20/1/26/pdf?version=1515053323","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,"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:33265115","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33265115","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,"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":null},{"id":"pmh:oai:arXiv.org:1712.02265","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.02265","pdf_url":"https://arxiv.org/pdf/1712.02265","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7512225","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7512225","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,"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:347c29236cfe4a9cb833d1b09ff92a50","is_oa":true,"landing_page_url":"https://doaj.org/article/347c29236cfe4a9cb833d1b09ff92a50","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":"Entropy, Vol 20, Iss 1, p 26 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/1/26/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e20010026","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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; Volume 20; Issue 1; Pages: 26","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e20010026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20010026","pdf_url":"https://www.mdpi.com/1099-4300/20/1/26/pdf?version=1515053323","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,"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":[],"awards":[{"id":"https://openalex.org/G7598727508","display_name":null,"funder_award_id":"291152","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2772536570.pdf","grobid_xml":"https://content.openalex.org/works/W2772536570.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1865095438","https://openalex.org/W1995875735","https://openalex.org/W2017054435","https://openalex.org/W2024993643","https://openalex.org/W2049420890","https://openalex.org/W2053116694","https://openalex.org/W2065170535","https://openalex.org/W2084585676","https://openalex.org/W2092365533","https://openalex.org/W2126482060","https://openalex.org/W2130676256","https://openalex.org/W2158946318","https://openalex.org/W2587300571","https://openalex.org/W2887002214","https://openalex.org/W3048249000"],"related_works":[],"abstract_inverted_index":{"The":[0,98],"information":[1,28,74,87,96,108,119,154,180],"shared":[2],"among":[3,45,112,133],"observables":[4],"representing":[5],"processes":[6,23],"of":[7,14,20,106,175],"interest":[8],"is":[9,78],"traditionally":[10],"evaluated":[11,132],"in":[12,53,64,182],"terms":[13],"macroscale":[15,95,107,134],"measures":[16,29,49],"characterizing":[17],"aggregate":[18],"properties":[19],"the":[21,33,36,76,94,104,118,124,164,172],"underlying":[22],"and":[24,82,102,129,152],"their":[25,148],"interactions.":[26],"Traditional":[27],"are":[30,131,137,155,167],"grounded":[31],"on":[32,80,93],"assumption":[34],"that":[35,136],"observable":[37],"represents":[38],"a":[39],"memoryless":[40],"process":[41],"without":[42],"any":[43],"interaction":[44],"microstates.":[46],"Generalized":[47],"entropy":[48,65],"have":[50],"been":[51],"formulated":[52],"non-extensive":[54],"statistical":[55,165,177],"mechanics":[56],"aiming":[57],"to":[58,91,116,179],"take":[59,160],"microphysical":[60,158],"codependence":[61,111],"into":[62,70],"account":[63],"quantification.":[66],"By":[67],"taking":[68],"them":[69],"consideration":[71],"when":[72,157],"formulating":[73],"measures,":[75],"question":[77],"raised":[79],"whether":[81],"if":[83,163],"so":[84,146],"how":[85],"much":[86],"permeates":[88],"across":[89],"scales":[90],"impact":[92],"measures.":[97],"present":[99],"study":[100],"investigates":[101],"quantifies":[103],"emergence":[105,120],"from":[109,123,140],"microscale":[110],"microphysics.":[113,150],"In":[114],"order":[115],"isolate":[117],"coming":[121],"solely":[122],"nonlinearly":[125],"interacting":[126],"microphysics,":[127],"redundancy":[128],"synergy":[130],"variables":[135],"statistically":[138],"independent":[139],"each":[141],"other":[142],"but":[143],"not":[144],"necessarily":[145],"within":[147],"own":[149],"Synergistic":[151],"redundant":[153],"found":[156],"interactions":[159],"place,":[161],"even":[162],"distributions":[166],"factorable.":[168],"These":[169],"findings":[170],"stress":[171],"added":[173],"value":[174],"nonlinear":[176],"physics":[178],"theory":[181],"coevolutionary":[183],"systems.":[184]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2017-12-22T00:00:00"}