{"id":"https://openalex.org/W2113893822","doi":"https://doi.org/10.1142/s0218127406015453","title":"LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC \u2118 FUNCTIONS","display_name":"LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC \u2118 FUNCTIONS","publication_year":2006,"publication_date":"2006-05-01","ids":{"openalex":"https://openalex.org/W2113893822","doi":"https://doi.org/10.1142/s0218127406015453","mag":"2113893822"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406015453","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5109966432","display_name":"Jane M. Hawkins","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JANE M. HAWKINS","raw_affiliation_strings":["Department of Mathematics , University of North Carolina at Chapel Hill , CB #3250, Chapel Hill, NC 27599-3250 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of North Carolina at Chapel Hill , CB #3250, Chapel Hill, NC 27599-3250 , USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049410885","display_name":"Daniel M. Look","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"DANIEL M. LOOK","raw_affiliation_strings":["Department of Mathematics, Boston University, 111 Cummington St., Boston, MA 02215, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Boston University, 111 Cummington St., Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.027,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":14,"citation_normalized_percentile":{"value":0.778828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"16","issue":"05","first_page":"1505","last_page":"1520"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13234","display_name":"advanced mathematical theories","score":0.9396,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9108,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/julia-set","display_name":"Julia set","score":0.79717314},{"id":"https://openalex.org/keywords/elliptic-function","display_name":"Elliptic function","score":0.6879253},{"id":"https://openalex.org/keywords/sierpinski-carpet","display_name":"Sierpinski carpet","score":0.49828362}],"concepts":[{"id":"https://openalex.org/C187619975","wikidata":"https://www.wikidata.org/wiki/Q848427","display_name":"Julia set","level":2,"score":0.79717314},{"id":"https://openalex.org/C27176706","wikidata":"https://www.wikidata.org/wiki/Q663365","display_name":"Sierpinski triangle","level":3,"score":0.7935897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7682357},{"id":"https://openalex.org/C123958593","wikidata":"https://www.wikidata.org/wiki/Q938102","display_name":"Elliptic function","level":2,"score":0.6879253},{"id":"https://openalex.org/C116006050","wikidata":"https://www.wikidata.org/wiki/Q280081","display_name":"Sierpinski carpet","level":4,"score":0.49828362},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4851578},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47575587},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.42005005},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41773397},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.41522068},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.27565098},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14354247},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406015453","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":30,"referenced_works":["https://openalex.org/W114953537","https://openalex.org/W141117032","https://openalex.org/W1508920883","https://openalex.org/W1564099312","https://openalex.org/W1622494161","https://openalex.org/W1628277156","https://openalex.org/W1811222889","https://openalex.org/W1990392475","https://openalex.org/W2008507922","https://openalex.org/W2027691611","https://openalex.org/W2037914258","https://openalex.org/W2065629179","https://openalex.org/W2082735186","https://openalex.org/W2084372123","https://openalex.org/W2087325044","https://openalex.org/W2095820303","https://openalex.org/W2114177365","https://openalex.org/W2125388741","https://openalex.org/W2141111991","https://openalex.org/W2165853527","https://openalex.org/W2183470064","https://openalex.org/W2338435499","https://openalex.org/W2895262533","https://openalex.org/W307108678","https://openalex.org/W3102739121","https://openalex.org/W3104217436","https://openalex.org/W4205524157","https://openalex.org/W4210689425","https://openalex.org/W4241933253","https://openalex.org/W4253111115"],"related_works":["https://openalex.org/W2999999879","https://openalex.org/W2963991691","https://openalex.org/W2963326823","https://openalex.org/W2787901204","https://openalex.org/W2461267095","https://openalex.org/W2370001214","https://openalex.org/W2256609531","https://openalex.org/W2146070898","https://openalex.org/W2113893822","https://openalex.org/W2076093011"],"abstract_inverted_index":{"We":[0,71,77],"define":[1],"a":[2,9,18,38],"locally":[3,49,63],"Sierpinski":[4,19,64,84],"Julia":[5,10,65],"set":[6,11],"to":[7,30,58],"be":[8],"of":[12,62],"an":[13],"elliptic":[14,45,69],"function":[15,47],"which":[16,41],"is":[17,48],"curve":[20],"in":[21,81,86],"each":[22],"fundamental":[23],"domain":[24],"for":[25,40,67],"the":[26,42,60,87],"lattice.":[27],"In":[28],"order":[29],"construct":[31],"examples,":[32],"we":[33,54],"give":[34,72],"sufficient":[35],"conditions":[36],"on":[37],"lattice":[39],"corresponding":[43],"Weierstrass":[44],"\u2118":[46],"connected":[50],"and":[51,53,90],"quadratic-like,":[52],"use":[55],"these":[56,75],"results":[57,80],"prove":[59],"existence":[61],"sets":[66],"certain":[68],"functions.":[70],"examples":[73],"satisfying":[74],"conditions.":[76],"show":[78],"this":[79],"naturally":[82],"occurring":[83],"curves":[85],"plane,":[88],"sphere":[89],"torus":[91],"as":[92],"well.":[93]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2113893822","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-13T17:52:09.613355","created_date":"2016-06-24"}