{"id":"https://openalex.org/W2545598615","doi":"https://doi.org/10.1109/itw.2016.7606794","title":"Symmetries in the entropy space","display_name":"Symmetries in the entropy space","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2545598615","doi":"https://doi.org/10.1109/itw.2016.7606794","mag":"2545598615"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2016.7606794","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2016.7606794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Information Theory Workshop (ITW)","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/A5076608322","display_name":"Jayant Apte","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jayant Apte","raw_affiliation_strings":["Dept. of ECE, Drexel University"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, Drexel University","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100340169","display_name":"Qi Chen","orcid":"https://orcid.org/0000-0002-5322-4783"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Chen","raw_affiliation_strings":["Dept. of ECE, The Chinese University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060945955","display_name":"John MacLaren Walsh","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John MacLaren Walsh","raw_affiliation_strings":["Dept. of ECE, Drexel University"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, Drexel University","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076608322"],"corresponding_institution_ids":["https://openalex.org/I72816309"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14942281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9591000080108643,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12610","display_name":"RNA regulation and disease","score":0.9309999942779541,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4784250855445862},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45047080516815186},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4171353578567505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4113554060459137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3717687726020813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3461747169494629},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13137993216514587}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4784250855445862},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45047080516815186},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4171353578567505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4113554060459137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3717687726020813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3461747169494629},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13137993216514587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2016.7606794","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2016.7606794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W108696806","https://openalex.org/W1014863066","https://openalex.org/W1609953057","https://openalex.org/W2113940092","https://openalex.org/W2131304595","https://openalex.org/W2147681281","https://openalex.org/W2288450576","https://openalex.org/W2405694149","https://openalex.org/W3102739603","https://openalex.org/W6713708239"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"This":[0,35],"paper":[1],"investigates":[2],"when":[3],"Shannon-type":[4],"inequalities":[5,80],"completely":[6],"characterize":[7],"the":[8,11,14,26,69,84,87,95],"part":[9],"of":[10,13,28,68,86],"closure":[12],"entropy":[15],"region":[16],"\u0393\u0305":[17],"<sub":[18,91,99,107,112,117,122],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[19,92,100,108,113,118,123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[20,93,101],"*":[21],"that":[22,78],"is":[23,37],"symmetric":[24],"under":[25,83],"action":[27,85],"a":[29,74],"specified":[30],"random":[31,51],"variable":[32],"permutation":[33],"group.":[34],"question":[36],"answered":[38],"exhaustively":[39],"for":[40,56,63,126],"every":[41,127],"group":[42,89,97],"permuting":[43],"n":[44,48,58,128],"=":[45,49],"4":[46],"and":[47,66,115],"5":[50],"variables,":[52],"while":[53],"multiple":[54],"examples":[55],"arbitrary":[57],"\u2265":[59,129],"6":[60],"are":[61,81],"provided":[62],"both":[64],"tightness":[65],"non-tightness":[67],"Shannontype":[70],"inequalities.":[71],"For":[72],"instance,":[73],"new":[75],"result":[76],"shows":[77],"non-Shannon-type":[79],"necessary":[82],"cyclic":[88],"C":[90,111],",":[94,102,125],"dihedral":[96],"D":[98,121],"as":[103,105],"well":[104],"S":[106,116],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[109,119],"\u00d7":[110,120],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n-1</sub>":[114,124],"6.":[130]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
