{"id":"https://openalex.org/W2071725938","doi":"https://doi.org/10.1109/wiopt.2009.5291598","title":"On a generic entropy measure in physics and information","display_name":"On a generic entropy measure in physics and information","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2071725938","doi":"https://doi.org/10.1109/wiopt.2009.5291598","mag":"2071725938"},"language":"en","primary_location":{"id":"doi:10.1109/wiopt.2009.5291598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2009.5291598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5021099896","display_name":"M.S. Elnaggar","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.S. Elnaggar","raw_affiliation_strings":["CALIT2, University of California, San Diego, La Jolla, CA, USA","CALIT2, University of California San Diego, La Jolla, 92093-0436, USA"],"affiliations":[{"raw_affiliation_string":"CALIT2, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"CALIT2, University of California San Diego, La Jolla, 92093-0436, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056197087","display_name":"Achim Kempf","orcid":"https://orcid.org/0000-0002-5809-9950"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Kempf","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","Department of Applied Mathematics, University of Waterloo, Ontario N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Ontario N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021099896"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.2404,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56515915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9965000152587891,"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":0.9965000152587891,"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/T10320","display_name":"Neural Networks and Applications","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiset","display_name":"Multiset","score":0.8485643267631531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6992082595825195},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6328821778297424},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6286944150924683},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.49635249376296997},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.44836729764938354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43562930822372437},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.41966933012008667},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4162948727607727},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4075447916984558},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33822759985923767},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.3125994801521301},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.2140253782272339},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.21175312995910645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20193186402320862},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18788045644760132},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17005687952041626},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12802380323410034},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08863797783851624},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08840310573577881}],"concepts":[{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.8485643267631531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6992082595825195},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6328821778297424},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6286944150924683},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.49635249376296997},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.44836729764938354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43562930822372437},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.41966933012008667},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4162948727607727},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4075447916984558},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33822759985923767},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.3125994801521301},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2140253782272339},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.21175312995910645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20193186402320862},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18788045644760132},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17005687952041626},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12802380323410034},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08863797783851624},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08840310573577881},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wiopt.2009.5291598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2009.5291598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W132918488","https://openalex.org/W1545744341","https://openalex.org/W1553236419","https://openalex.org/W1570082825","https://openalex.org/W1983874169","https://openalex.org/W1995875735","https://openalex.org/W2099111195","https://openalex.org/W2124164696","https://openalex.org/W2144900368","https://openalex.org/W2153447041","https://openalex.org/W2159977619","https://openalex.org/W2167191107","https://openalex.org/W2321622842","https://openalex.org/W2327198916","https://openalex.org/W2947000318","https://openalex.org/W2969734899","https://openalex.org/W2993383518","https://openalex.org/W4206007682","https://openalex.org/W4245952386"],"related_works":["https://openalex.org/W2949606031","https://openalex.org/W2300741437","https://openalex.org/W2883631711","https://openalex.org/W3123254516","https://openalex.org/W2984351435","https://openalex.org/W1991851767","https://openalex.org/W1542647727","https://openalex.org/W4220904742","https://openalex.org/W3099813660","https://openalex.org/W2182029627"],"abstract_inverted_index":{"We":[0,95,116],"define":[1,73],"a":[2,18,26,33,103],"generalized":[3,85],"entropy":[4,86,100,108],"that":[5,97],"measures":[6],"the":[7,10,13,52,80,84,91,98,106,113,122],"evenness":[8],"of":[9,12,17,87,90,105,112,121],"distribution":[11],"real":[14],"non-negative":[15],"elements":[16],"multiset":[19,28,114],"X.":[20],"The":[21],"approach":[22],"is":[23,31,102],"to":[24,37,78],"determine":[25],"comparison":[27],"R":[29,58],"which":[30,40],"in":[32],"precise":[34],"sense":[35],"equivalent":[36,63],"X":[38,60,88],"and":[39,59,67,75,83],"contains":[41],"only":[42],"one":[43],"distinct":[44],"positive":[45],"element,":[46],"whose":[47],"multiplicity":[48],"k":[49,74],"then":[50],"yields":[51],"desired":[53],"measure.":[54,124],"To":[55],"this":[56],"end,":[57],"are":[61],"considered":[62],"if":[64],"their":[65],"p-":[66],"q-":[68],"norms":[69],"coincide.":[70],"Accordingly,":[71],"we":[72],"its":[76],"logarithm":[77],"be":[79],"effective":[81],"cardinality":[82],"respectively,":[89],"order":[92],"p,q":[93],".":[94],"show":[96],"new":[99],"measure":[101],"generalization":[104],"Renyi":[107],"after":[109],"proper":[110],"normalization":[111],"elements.":[115],"also":[117],"discuss":[118],"some":[119],"properties":[120],"proposed":[123]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}