{"id":"https://openalex.org/W1948639055","doi":"https://doi.org/10.1007/978-3-319-11707-2","title":"Fixed Point of the Parabolic Renormalization Operator","display_name":"Fixed Point of the Parabolic Renormalization Operator","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1948639055","doi":"https://doi.org/10.1007/978-3-319-11707-2","mag":"1948639055"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-11707-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-11707-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210230932","display_name":"SpringerBriefs in mathematics","issn_l":"2191-8198","issn":["2191-8198","2191-8201"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerBriefs in Mathematics","raw_type":"book"},"type":"book","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/A5071583518","display_name":"Oscar E. Lanford","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oscar E. Lanford III","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112551593","display_name":"Michael Yampolsky","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Yampolsky","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6003,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74233129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"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":0.9977999925613403,"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":0.9977999925613403,"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":0.9950000047683716,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.991100013256073,"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/renormalization","display_name":"Renormalization","score":0.6773619055747986},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6424028873443604},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5910544395446777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5144005417823792},{"id":"https://openalex.org/keywords/infrared-fixed-point","display_name":"Infrared fixed point","score":0.4303652346134186},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.43030187487602234},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41294440627098083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.321585476398468},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.04560467600822449}],"concepts":[{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.6773619055747986},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6424028873443604},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5910544395446777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5144005417823792},{"id":"https://openalex.org/C49492215","wikidata":"https://www.wikidata.org/wiki/Q6031498","display_name":"Infrared fixed point","level":3,"score":0.4303652346134186},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.43030187487602234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41294440627098083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.321585476398468},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.04560467600822449},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-319-11707-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-11707-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210230932","display_name":"SpringerBriefs in mathematics","issn_l":"2191-8198","issn":["2191-8198","2191-8201"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerBriefs in Mathematics","raw_type":"book"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.49","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.49","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1108.2801.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:1973518","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1973518","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:dial.uclouvain.be:ebook:61071","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078/ebook:61071","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.5799999833106995,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W390053422","https://openalex.org/W569549524","https://openalex.org/W1552202016","https://openalex.org/W1612598938","https://openalex.org/W1879658017","https://openalex.org/W1994512315","https://openalex.org/W1997546363","https://openalex.org/W1998022780","https://openalex.org/W2023770261","https://openalex.org/W2077022789","https://openalex.org/W2093486929","https://openalex.org/W2354338318","https://openalex.org/W2727209951","https://openalex.org/W3087877620"],"related_works":["https://openalex.org/W1989643631","https://openalex.org/W2146476052","https://openalex.org/W2256919975","https://openalex.org/W4297795233","https://openalex.org/W2595782497","https://openalex.org/W2388982680","https://openalex.org/W1973368106","https://openalex.org/W1996842332","https://openalex.org/W1978285141","https://openalex.org/W2084494538"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}