{"id":"https://openalex.org/W2134287462","doi":"https://doi.org/10.1017/s0960129512000783","title":"Shannon entropy: a rigorous notion at the crossroads between probability, information theory, dynamical systems and statistical physics","display_name":"Shannon entropy: a rigorous notion at the crossroads between probability, information theory, dynamical systems and statistical physics","publication_year":2014,"publication_date":"2014-03-28","ids":{"openalex":"https://openalex.org/W2134287462","doi":"https://doi.org/10.1017/s0960129512000783","mag":"2134287462"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129512000783","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129512000783","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4A4B7B069BCF64CC595635D865317C83/S0960129512000783a.pdf/div-class-title-shannon-entropy-a-rigorous-notion-at-the-crossroads-between-probability-information-theory-dynamical-systems-and-statistical-physics-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4A4B7B069BCF64CC595635D865317C83/S0960129512000783a.pdf/div-class-title-shannon-entropy-a-rigorous-notion-at-the-crossroads-between-probability-information-theory-dynamical-systems-and-statistical-physics-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068924391","display_name":"Annick Lesne","orcid":"https://orcid.org/0000-0002-6647-612X"},"institutions":[{"id":"https://openalex.org/I4210140797","display_name":"Laboratoire de Physique Th\u00e9orique de la Mati\u00e8re Condens\u00e9e","ror":"https://ror.org/04zaaa143","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098836","https://openalex.org/I4210140797"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I84909340","display_name":"Institut des Hautes \u00c9tudes Scientifiques","ror":"https://ror.org/05d5m2r55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I84909340"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"ANNICK LESNE","raw_affiliation_strings":["Laboratoire de Physique Th\u00e9orique de la Mati\u00e8re Condens\u00e9e CNRS UMR 7600Universit\u00e9 Pierre et Marie Curie-Paris 6, 4 place Jussieu, F-75252 Paris Cedex 05, France and Institut des Hautes \u00c9tudes Scientifiques 35 route de Chartres, F-91440, Bures-sur-Yvette, France Email:","Institut des Hautes \u00c9tudes Scientifiques, Bures-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Th\u00e9orique de la Mati\u00e8re Condens\u00e9e CNRS UMR 7600Universit\u00e9 Pierre et Marie Curie-Paris 6, 4 place Jussieu, F-75252 Paris Cedex 05, France and Institut des Hautes \u00c9tudes Scientifiques 35 route de Chartres, F-91440, Bures-sur-Yvette, France Email:","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I84909340","https://openalex.org/I4210140797","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut des Hautes \u00c9tudes Scientifiques, Bures-sur-Yvette, France","institution_ids":["https://openalex.org/I84909340"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068924391"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210140797","https://openalex.org/I84909340"],"apc_list":null,"apc_paid":null,"fwci":7.9843,"has_fulltext":true,"cited_by_count":215,"citation_normalized_percentile":{"value":0.98047514,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"24","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9961000084877014,"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":0.9961000084877014,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9951000213623047,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.6804416179656982},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6359729766845703},{"id":"https://openalex.org/keywords/shannons-source-coding-theorem","display_name":"Shannon's source coding theorem","score":0.6197282075881958},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5517954230308533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.546688973903656},{"id":"https://openalex.org/keywords/information-diagram","display_name":"Information diagram","score":0.5352350473403931},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.5350310206413269},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5345847606658936},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.5280464887619019},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.5177289843559265},{"id":"https://openalex.org/keywords/entropy-in-thermodynamics-and-information-theory","display_name":"Entropy in thermodynamics and information theory","score":0.5159602761268616},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.505702018737793},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.5054848194122314},{"id":"https://openalex.org/keywords/h-theorem","display_name":"H-theorem","score":0.49535122513771057},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.47905170917510986},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.476377934217453},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.43815380334854126},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.35765278339385986},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17519620060920715},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17002683877944946},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11851227283477783}],"concepts":[{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.6804416179656982},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6359729766845703},{"id":"https://openalex.org/C177409962","wikidata":"https://www.wikidata.org/wiki/Q2411312","display_name":"Shannon's source coding theorem","level":5,"score":0.6197282075881958},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5517954230308533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.546688973903656},{"id":"https://openalex.org/C67935508","wikidata":"https://www.wikidata.org/wiki/Q17078448","display_name":"Information diagram","level":5,"score":0.5352350473403931},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.5350310206413269},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5345847606658936},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.5280464887619019},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.5177289843559265},{"id":"https://openalex.org/C148563202","wikidata":"https://www.wikidata.org/wiki/Q5380803","display_name":"Entropy in thermodynamics and information theory","level":5,"score":0.5159602761268616},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.505702018737793},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.5054848194122314},{"id":"https://openalex.org/C179434709","wikidata":"https://www.wikidata.org/wiki/Q899853","display_name":"H-theorem","level":5,"score":0.49535122513771057},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.47905170917510986},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.476377934217453},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.43815380334854126},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.35765278339385986},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17519620060920715},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17002683877944946},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11851227283477783}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129512000783","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129512000783","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4A4B7B069BCF64CC595635D865317C83/S0960129512000783a.pdf/div-class-title-shannon-entropy-a-rigorous-notion-at-the-crossroads-between-probability-information-theory-dynamical-systems-and-statistical-physics-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0960129512000783","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129512000783","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4A4B7B069BCF64CC595635D865317C83/S0960129512000783a.pdf/div-class-title-shannon-entropy-a-rigorous-notion-at-the-crossroads-between-probability-information-theory-dynamical-systems-and-statistical-physics-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6000000238418579}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320273","display_name":"University of Cambridge","ror":"https://ror.org/013meh722"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320320893","display_name":"Institut National de la Sant\u00e9 et de la Recherche M\u00e9dicale","ror":"https://ror.org/02vjkv261"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2134287462.pdf","grobid_xml":"https://content.openalex.org/works/W2134287462.grobid-xml"},"referenced_works_count":148,"referenced_works":["https://openalex.org/W20854365","https://openalex.org/W56012926","https://openalex.org/W123253449","https://openalex.org/W148564650","https://openalex.org/W149658591","https://openalex.org/W170505492","https://openalex.org/W197497516","https://openalex.org/W572526246","https://openalex.org/W1480539485","https://openalex.org/W1483888214","https://openalex.org/W1496462336","https://openalex.org/W1496765929","https://openalex.org/W1499043613","https://openalex.org/W1517729176","https://openalex.org/W1519208961","https://openalex.org/W1523789805","https://openalex.org/W1538135945","https://openalex.org/W1547458988","https://openalex.org/W1549664537","https://openalex.org/W1549904246","https://openalex.org/W1556913189","https://openalex.org/W1573082642","https://openalex.org/W1579376688","https://openalex.org/W1579788182","https://openalex.org/W1581247215","https://openalex.org/W1582868718","https://openalex.org/W1584724822","https://openalex.org/W1592150402","https://openalex.org/W1615763157","https://openalex.org/W1638203394","https://openalex.org/W1722451031","https://openalex.org/W1822373189","https://openalex.org/W1965202306","https://openalex.org/W1965399019","https://openalex.org/W1965555277","https://openalex.org/W1966767328","https://openalex.org/W1968250327","https://openalex.org/W1969678783","https://openalex.org/W1970091448","https://openalex.org/W1972633005","https://openalex.org/W1973494188","https://openalex.org/W1974109703","https://openalex.org/W1980144689","https://openalex.org/W1983282154","https://openalex.org/W1984602147","https://openalex.org/W1986466512","https://openalex.org/W1987073094","https://openalex.org/W1992222799","https://openalex.org/W1992649154","https://openalex.org/W1993380370","https://openalex.org/W1995875735","https://openalex.org/W1999518678","https://openalex.org/W2001452344","https://openalex.org/W2001768556","https://openalex.org/W2001965680","https://openalex.org/W2004345748","https://openalex.org/W2005097301","https://openalex.org/W2006624419","https://openalex.org/W2007873004","https://openalex.org/W2009502523","https://openalex.org/W2010584937","https://openalex.org/W2014504423","https://openalex.org/W2018490621","https://openalex.org/W2022861102","https://openalex.org/W2025130480","https://openalex.org/W2025513587","https://openalex.org/W2027321393","https://openalex.org/W2030508900","https://openalex.org/W2031451638","https://openalex.org/W2032558547","https://openalex.org/W2033672007","https://openalex.org/W2033686454","https://openalex.org/W2036613247","https://openalex.org/W2050976220","https://openalex.org/W2053147468","https://openalex.org/W2055281720","https://openalex.org/W2058879612","https://openalex.org/W2065557403","https://openalex.org/W2067580807","https://openalex.org/W2068588832","https://openalex.org/W2068967633","https://openalex.org/W2076065057","https://openalex.org/W2077770566","https://openalex.org/W2083378218","https://openalex.org/W2084379974","https://openalex.org/W2086435517","https://openalex.org/W2087962989","https://openalex.org/W2090547656","https://openalex.org/W2099111195","https://openalex.org/W2103756638","https://openalex.org/W2106752089","https://openalex.org/W2107745473","https://openalex.org/W2108947461","https://openalex.org/W2111414208","https://openalex.org/W2119231103","https://openalex.org/W2120141446","https://openalex.org/W2122962290","https://openalex.org/W2123088883","https://openalex.org/W2124625702","https://openalex.org/W2134312352","https://openalex.org/W2139416101","https://openalex.org/W2146494856","https://openalex.org/W2154462988","https://openalex.org/W2154518298","https://openalex.org/W2160709761","https://openalex.org/W2167536936","https://openalex.org/W2190047654","https://openalex.org/W2320730437","https://openalex.org/W2323857126","https://openalex.org/W2326583277","https://openalex.org/W2330702262","https://openalex.org/W2477957888","https://openalex.org/W2478378193","https://openalex.org/W2478708596","https://openalex.org/W2483309620","https://openalex.org/W2489512873","https://openalex.org/W2495310955","https://openalex.org/W2597205443","https://openalex.org/W2608627521","https://openalex.org/W2797078163","https://openalex.org/W2797419110","https://openalex.org/W2993880730","https://openalex.org/W3005239507","https://openalex.org/W3016217447","https://openalex.org/W3041620234","https://openalex.org/W3049188988","https://openalex.org/W3100436695","https://openalex.org/W3101604308","https://openalex.org/W3101725915","https://openalex.org/W3144644885","https://openalex.org/W3150574340","https://openalex.org/W4206655569","https://openalex.org/W4230960895","https://openalex.org/W4233798822","https://openalex.org/W4234011050","https://openalex.org/W4238049858","https://openalex.org/W4244229143","https://openalex.org/W4246303904","https://openalex.org/W4249543038","https://openalex.org/W4251136000","https://openalex.org/W4252028749","https://openalex.org/W4255142739","https://openalex.org/W4255840838","https://openalex.org/W4255933248","https://openalex.org/W4299956576","https://openalex.org/W6656009584","https://openalex.org/W6677830969","https://openalex.org/W6785555009"],"related_works":["https://openalex.org/W4244537610","https://openalex.org/W3210135756","https://openalex.org/W3162572487","https://openalex.org/W3114186922","https://openalex.org/W2009704252","https://openalex.org/W2918851394","https://openalex.org/W2083462338","https://openalex.org/W2154864208","https://openalex.org/W2134287462","https://openalex.org/W3023276902"],"abstract_inverted_index":{"Statistical":[0],"entropy":[1,25,42,44,51,92,110,123,126,148],"was":[2],"introduced":[3],"by":[4],"Shannon":[5],"as":[6],"a":[7,19,60,105,119],"basic":[8],"concept":[9],"in":[10,18,30,127,154],"information":[11,17],"theory":[12,57,73],"measuring":[13,64],"the":[14,71,138,150],"average":[15],"missing":[16],"random":[20],"source.":[21],"Extended":[22],"into":[23,137],"an":[24],"rate,":[26],"it":[27],"gives":[28],"bounds":[29],"coding":[31],"and":[32,43,81,89,97,103,124,134,143,159],"compression":[33],"theorems.":[34],"In":[35],"this":[36],"paper,":[37],"I":[38],"describe":[39],"how":[40],"statistical":[41,82,128],"rate":[45],"relate":[46],"to":[47,55,122,163],"other":[48],"notions":[49,139],"of":[50,59,74,140,147,152],"that":[52],"are":[53],"relevant":[54],"probability":[56,62],"(entropy":[58],"discrete":[61],"distribution":[63],"its":[65],"unevenness),":[66],"computer":[67],"sciences":[68],"(algorithmic":[69],"complexity),":[70],"ergodic":[72],"dynamical":[75],"systems":[76,158],"(Kolmogorov\u2013Sinai":[77],"or":[78],"metric":[79],"entropy)":[80],"physics":[83],"(Boltzmann":[84],"entropy).":[85],"Their":[86],"mathematical":[87,116],"foundations":[88],"correlates":[90],"(the":[91],"concentration,":[93],"Sanov,":[94],"Shannon\u2013McMillan\u2013Breiman,":[95],"Lempel\u2013Ziv":[96],"Pesin":[98],"theorems)":[99],"clarify":[100],"their":[101],"interpretation":[102],"offer":[104],"rigorous":[106],"basis":[107],"for":[108,156],"maximum":[109],"principles.":[111],"Although":[112],"often":[113],"ignored,":[114],"these":[115],"perspectives":[117],"give":[118],"central":[120],"position":[121],"relative":[125],"laws":[129],"describing":[130],"generic":[131],"collective":[132],"behaviours,":[133],"provide":[135],"insights":[136],"randomness,":[141],"typicality":[142],"disorder.":[144],"The":[145],"relevance":[146],"beyond":[149],"realm":[151],"physics,":[153],"particular":[155],"living":[157],"ecosystems,":[160],"is":[161],"yet":[162],"be":[164],"demonstrated.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":28},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-26T08:31:28.666265","created_date":"2025-10-10T00:00:00"}