{"id":"https://openalex.org/W2037497826","doi":"https://doi.org/10.3390/e10040493","title":"Entropy and Uncertainty","display_name":"Entropy and Uncertainty","publication_year":2008,"publication_date":"2008-10-16","ids":{"openalex":"https://openalex.org/W2037497826","doi":"https://doi.org/10.3390/e10040493","mag":"2037497826"},"language":"en","primary_location":{"id":"doi:10.3390/e10040493","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e10040493","pdf_url":"https://www.mdpi.com/1099-4300/10/4/493/pdf?version=1424784646","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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/10/4/493/pdf?version=1424784646","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066844786","display_name":"Derek W. Robinson","orcid":"https://orcid.org/0000-0003-0054-0675"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I2802631561","display_name":"Australian Mathematical Sciences Institute","ror":"https://ror.org/00yn60108","country_code":"AU","type":"other","lineage":["https://openalex.org/I2802631561"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Derek W. Robinson","raw_affiliation_strings":["Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia","institution_ids":["https://openalex.org/I2802631561","https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066844786"],"corresponding_institution_ids":["https://openalex.org/I118347636","https://openalex.org/I2802631561"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.1255,"has_fulltext":true,"cited_by_count":84,"citation_normalized_percentile":{"value":0.7772651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"493","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.8295000195503235,"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":0.8295000195503235,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.7846999764442444,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6816253662109375},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.6255965232849121},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6121563911437988},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.6043097376823425},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5122050642967224},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.4728691279888153},{"id":"https://openalex.org/keywords/information-diagram","display_name":"Information diagram","score":0.4648965895175934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4578607678413391},{"id":"https://openalex.org/keywords/h-theorem","display_name":"H-theorem","score":0.4527176320552826},{"id":"https://openalex.org/keywords/entropy-in-thermodynamics-and-information-theory","display_name":"Entropy in thermodynamics and information theory","score":0.4466783404350281},{"id":"https://openalex.org/keywords/transfer-entropy","display_name":"Transfer entropy","score":0.4100250005722046},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.37021785974502563},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.35085588693618774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33499574661254883},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24058115482330322},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1963965892791748},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.15937384963035583}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6816253662109375},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.6255965232849121},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6121563911437988},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.6043097376823425},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5122050642967224},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.4728691279888153},{"id":"https://openalex.org/C67935508","wikidata":"https://www.wikidata.org/wiki/Q17078448","display_name":"Information diagram","level":5,"score":0.4648965895175934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4578607678413391},{"id":"https://openalex.org/C179434709","wikidata":"https://www.wikidata.org/wiki/Q899853","display_name":"H-theorem","level":5,"score":0.4527176320552826},{"id":"https://openalex.org/C148563202","wikidata":"https://www.wikidata.org/wiki/Q5380803","display_name":"Entropy in thermodynamics and information theory","level":5,"score":0.4466783404350281},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.4100250005722046},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.37021785974502563},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.35085588693618774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33499574661254883},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24058115482330322},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1963965892791748},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.15937384963035583}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e10040493","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e10040493","pdf_url":"https://www.mdpi.com/1099-4300/10/4/493/pdf?version=1424784646","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":"pmh:oai:openresearch-repository.anu.edu.au:10440/293","is_oa":true,"landing_page_url":"http://hdl.handle.net/10440/293","pdf_url":"https://openresearch-repository.anu.edu.au/bitstreams/a8387b50-401d-4d96-a998-6c1d173404c3/download","source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"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":"http://www.mdpi.com/1099-4300/10/4/493/pdf","raw_type":"Journal article"},{"id":"pmh:oai:doaj.org/article:64eeee59bb89494c85c8b7f62f02d7bc","is_oa":true,"landing_page_url":"https://doaj.org/article/64eeee59bb89494c85c8b7f62f02d7bc","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 10, Iss 4, Pp 493-506 (2008)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/10/4/493/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e10040493","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 10; Issue 4; Pages: 493-506","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e10040493","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e10040493","pdf_url":"https://www.mdpi.com/1099-4300/10/4/493/pdf?version=1424784646","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2037497826.pdf","grobid_xml":"https://content.openalex.org/works/W2037497826.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W430443848","https://openalex.org/W1571989874","https://openalex.org/W1995875735","https://openalex.org/W2076259017","https://openalex.org/W2993508114","https://openalex.org/W3150401610","https://openalex.org/W3152478022","https://openalex.org/W4210458405","https://openalex.org/W4231009334","https://openalex.org/W4302327534"],"related_works":["https://openalex.org/W2036400433","https://openalex.org/W2076677887","https://openalex.org/W2092814302","https://openalex.org/W2083462338","https://openalex.org/W3114186922","https://openalex.org/W3108630578","https://openalex.org/W2154864208","https://openalex.org/W2346512982","https://openalex.org/W2356689936","https://openalex.org/W2134287462"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2],"survey":[3],"of":[4,12,26],"the":[5,10,21,24],"basic":[6],"statistical":[7,31],"ideas":[8],"underlying":[9],"definition":[11],"entropy":[13,22],"in":[14,23,30],"information":[15],"theory":[16,25],"and":[17,29],"their":[18],"connections":[19],"with":[20],"dynamical":[27],"systems":[28],"mechanics.":[32]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
