{"id":"https://openalex.org/W2891656133","doi":"https://doi.org/10.3390/e20090714","title":"Harmonic Sierpinski Gasket and Applications","display_name":"Harmonic Sierpinski Gasket and Applications","publication_year":2018,"publication_date":"2018-09-17","ids":{"openalex":"https://openalex.org/W2891656133","doi":"https://doi.org/10.3390/e20090714","mag":"2891656133","pmid":"https://pubmed.ncbi.nlm.nih.gov/33265803"},"language":"en","primary_location":{"id":"doi:10.3390/e20090714","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20090714","pdf_url":"https://www.mdpi.com/1099-4300/20/9/714/pdf?version=1537179773","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/20/9/714/pdf?version=1537179773","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005852879","display_name":"Emanuel Guariglia","orcid":"https://orcid.org/0000-0003-3320-1493"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]},{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Emanuel Guariglia","raw_affiliation_strings":["Department of Mathematics and Applications \u201cR.Caccioppoli\u201d, University of Naples Federico II, 80126 Naples, Italy","Department of Mathematics, University of Trento, 38123 Trento, Italy","Department of Mathematics and Applications \"R.Caccioppoli\", University of Naples Federico II, 80126 Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3320-1493","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applications \u201cR.Caccioppoli\u201d, University of Naples Federico II, 80126 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Mathematics, University of Trento, 38123 Trento, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"Department of Mathematics and Applications \"R.Caccioppoli\", University of Naples Federico II, 80126 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005852879"],"corresponding_institution_ids":["https://openalex.org/I193223587","https://openalex.org/I71267560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":10.6032,"has_fulltext":false,"cited_by_count":229,"citation_normalized_percentile":{"value":0.98665311,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"20","issue":"9","first_page":"714","last_page":"714"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9968000054359436,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/sierpinski-triangle","display_name":"Sierpinski triangle","score":0.928653359413147},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6545834541320801},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5612225532531738},{"id":"https://openalex.org/keywords/gasket","display_name":"Gasket","score":0.5440782904624939},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5366852283477783},{"id":"https://openalex.org/keywords/harmonic-function","display_name":"Harmonic function","score":0.5350737571716309},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4862772226333618},{"id":"https://openalex.org/keywords/koch-snowflake","display_name":"Koch snowflake","score":0.48287466168403625},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4591147303581238},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4357767701148987},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36082661151885986},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2622349262237549},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.09867611527442932},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09148603677749634}],"concepts":[{"id":"https://openalex.org/C27176706","wikidata":"https://www.wikidata.org/wiki/Q663365","display_name":"Sierpinski triangle","level":3,"score":0.928653359413147},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6545834541320801},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5612225532531738},{"id":"https://openalex.org/C128421294","wikidata":"https://www.wikidata.org/wiki/Q1132541","display_name":"Gasket","level":2,"score":0.5440782904624939},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5366852283477783},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.5350737571716309},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4862772226333618},{"id":"https://openalex.org/C134236712","wikidata":"https://www.wikidata.org/wiki/Q223137","display_name":"Koch snowflake","level":3,"score":0.48287466168403625},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4591147303581238},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4357767701148987},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36082661151885986},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2622349262237549},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09867611527442932},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09148603677749634},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e20090714","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20090714","pdf_url":"https://www.mdpi.com/1099-4300/20/9/714/pdf?version=1537179773","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:33265803","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33265803","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:doaj.org/article:22469a4ebb1e46c5a676e0a1e96a6723","is_oa":true,"landing_page_url":"https://doaj.org/article/22469a4ebb1e46c5a676e0a1e96a6723","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 9, p 714 (2018)","raw_type":"article"},{"id":"pmh:oai:iris.unitn.it:11572/213003","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/213003","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/9/714/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e20090714","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","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7513240","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7513240","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"}],"best_oa_location":{"id":"doi:10.3390/e20090714","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20090714","pdf_url":"https://www.mdpi.com/1099-4300/20/9/714/pdf?version=1537179773","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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2891656133.pdf","grobid_xml":"https://content.openalex.org/works/W2891656133.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1554717177","https://openalex.org/W1707697129","https://openalex.org/W1798189292","https://openalex.org/W1965307378","https://openalex.org/W1979115063","https://openalex.org/W1983905938","https://openalex.org/W1988730862","https://openalex.org/W1995875735","https://openalex.org/W2027990787","https://openalex.org/W2031091126","https://openalex.org/W2037042173","https://openalex.org/W2058232618","https://openalex.org/W2067062227","https://openalex.org/W2079919503","https://openalex.org/W2084489800","https://openalex.org/W2095375390","https://openalex.org/W2099681111","https://openalex.org/W2101221513","https://openalex.org/W2104308248","https://openalex.org/W2105646148","https://openalex.org/W2131798110","https://openalex.org/W2139364442","https://openalex.org/W2141963433","https://openalex.org/W2142149225","https://openalex.org/W2290701356","https://openalex.org/W2311872774","https://openalex.org/W2949611096","https://openalex.org/W2964245332","https://openalex.org/W3037508934","https://openalex.org/W3099914490","https://openalex.org/W3101388868","https://openalex.org/W3104142137","https://openalex.org/W4238652859","https://openalex.org/W4246752051","https://openalex.org/W4249775755"],"related_works":["https://openalex.org/W1967016391","https://openalex.org/W2771980504","https://openalex.org/W2030090054","https://openalex.org/W1779783838","https://openalex.org/W1985269486","https://openalex.org/W2008533235","https://openalex.org/W2594879693","https://openalex.org/W3148182212","https://openalex.org/W2121005921","https://openalex.org/W2358209588"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,42],"this":[3,20],"paper":[4],"is":[5,36,54,61],"to":[6],"investigate":[7],"the":[8,11,15,32,57],"generalization":[9],"Sierpinski":[12,34],"gasket":[13,35],"through":[14],"harmonic":[16,33],"metric.":[17],"In":[18,30],"particular,":[19],"work":[21],"presents":[22],"an":[23],"antenna":[24],"based":[25],"on":[26],"such":[27],"a":[28,39],"generalization.":[29],"fact,":[31],"used":[37],"as":[38],"geometric":[40],"configuration":[41],"small":[43],"antennas.":[44],"As":[45],"with":[46],"fractal":[47],"antennas":[48],"and":[49,63],"R\u00e9nyi":[50],"entropy,":[51],"their":[52],"performance":[53],"characterized":[55],"by":[56],"associated":[58],"entropy":[59],"that":[60],"studied":[62],"discussed":[64],"here.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":33},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":32},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":38},{"year":2019,"cited_by_count":30},{"year":2018,"cited_by_count":9}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
