{"id":"https://openalex.org/W2913171663","doi":"https://doi.org/10.48550/arxiv.1902.01190","title":"Dynamics on immediate basins for parabolic Newton maps","display_name":"Dynamics on immediate basins for parabolic Newton maps","publication_year":2019,"publication_date":"2019-02-04","ids":{"openalex":"https://openalex.org/W2913171663","doi":"https://doi.org/10.48550/arxiv.1902.01190","mag":"2913171663"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1902.01190","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.01190","pdf_url":"https://arxiv.org/pdf/1902.01190","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.01190","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046674565","display_name":"Khudoyor Mamayusupov","orcid":"https://orcid.org/0000-0001-8511-4856","observed_orcids":["https://orcid.org/0000-0001-8511-4856"]},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Mamayusupov, Khudoyor","raw_affiliation_strings":["National Research University Higher School of Economics , Russian Feder- ation , Faculty of Mathematics , Ul. Usacheva 6 , Moscow , Russian Federation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Research University Higher School of Economics , Russian Feder- ation , Faculty of Mathematics , Ul. Usacheva 6 , Moscow , Russian Federation","institution_ids":["https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046674565"],"corresponding_institution_ids":["https://openalex.org/I118501908"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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":0.9994999766349792,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":9.999999747378752e-05,"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/T11822","display_name":"Analytic and geometric function theory","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/newton-maps","display_name":"Newton maps","score":0.753000020980835},{"id":"https://openalex.org/keywords/entire-functions","display_name":"entire functions","score":0.7799999713897705},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"complex dynamics","score":0.578000009059906},{"id":"https://openalex.org/keywords/rational-maps","display_name":"rational maps","score":0.7760000228881836}],"concepts":[{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.7252626419067383},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6718842387199402},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6480588316917419},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5711093544960022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5668099522590637},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49808740615844727},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.45475804805755615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42233943939208984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2067987620830536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20034998655319214},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0789819061756134},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.04989016056060791},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1902.01190","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.01190","pdf_url":"https://arxiv.org/pdf/1902.01190","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2913171663","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1902.01190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1902.01190","doi":"https://doi.org/10.48550/arxiv.1902.01190","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.01190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.01190","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.01190","pdf_url":"https://arxiv.org/pdf/1902.01190","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1603977374","https://openalex.org/W1973136540","https://openalex.org/W1998761587","https://openalex.org/W2135157903","https://openalex.org/W2354338318","https://openalex.org/W2468774328","https://openalex.org/W2784075093","https://openalex.org/W2791816311","https://openalex.org/W2798922842","https://openalex.org/W3105770713"],"related_works":["https://openalex.org/W2807695973","https://openalex.org/W2499451139","https://openalex.org/W3099060364","https://openalex.org/W2354552433","https://openalex.org/W2531923681","https://openalex.org/W3098670064","https://openalex.org/W2048864894","https://openalex.org/W1899652312","https://openalex.org/W2609089411","https://openalex.org/W2950406111","https://openalex.org/W2000740947","https://openalex.org/W3166127614","https://openalex.org/W801714155","https://openalex.org/W2183823262","https://openalex.org/W2022753223","https://openalex.org/W1534183938","https://openalex.org/W2951428852","https://openalex.org/W2965635436","https://openalex.org/W2894196946","https://openalex.org/W2185564557"],"abstract_inverted_index":{"Dynamics":[0],"on":[1],"parabolic":[2,20,28,50],"immediate":[3,21],"basins":[4],"for":[5,54],"rational":[6],"Newton":[7],"maps":[8],"of":[9],"entire":[10],"functions":[11],"have":[12],"been":[13],"studied.":[14],"It":[15],"is":[16,59],"proved":[17],"that":[18],"every":[19],"basin":[22],"contains":[23],"invariant":[24],"accesses":[25,36],"to":[26],"the":[27,49,61],"fixed":[29,51],"point":[30],"at":[31],"infinity.":[32],"Moreover,":[33],"among":[34],"these":[35],"there":[37,58],"exists":[38],"a":[39],"unique":[40],"dynamically":[41],"defined":[42],"access":[43],"where":[44],"dynamics":[45,62],"are":[46,63],"attracted":[47],"towards":[48],"point,":[52],"whereas":[53],"other":[55],"accesses,":[56],"if":[57],"any,":[60],"repelled.":[64]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}