{"id":"https://openalex.org/W2108540986","doi":"https://doi.org/10.1016/s0097-3165(03)00020-7","title":"Mitosis recursion for coefficients of Schubert polynomials","display_name":"Mitosis recursion for coefficients of Schubert polynomials","publication_year":2003,"publication_date":"2003-07-07","ids":{"openalex":"https://openalex.org/W2108540986","doi":"https://doi.org/10.1016/s0097-3165(03)00020-7","mag":"2108540986"},"language":"en","primary_location":{"id":"doi:10.1016/s0097-3165(03)00020-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-3165(03)00020-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-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/A5016020455","display_name":"Ezra Miller","orcid":"https://orcid.org/0000-0003-0858-586X"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ezra Miller","raw_affiliation_strings":["Department of Mathematics, MIT, 77 Massachusetts Ave., Cambridge, MA 02139, USA","Department of Mathematics, MIT, 77 Massachusetts Ave., Cambridge, MA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, MIT, 77 Massachusetts Ave., Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Department of Mathematics, MIT, 77 Massachusetts Ave., Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I4210110987"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016020455"],"corresponding_institution_ids":["https://openalex.org/I4210110987"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":2.2005,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86137619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"103","issue":"2","first_page":"223","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7128182053565979},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.7055118680000305},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6030907034873962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.539682924747467},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5244850516319275},{"id":"https://openalex.org/keywords/mitosis","display_name":"Mitosis","score":0.438849538564682},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43464455008506775},{"id":"https://openalex.org/keywords/schubert-polynomial","display_name":"Schubert polynomial","score":0.4263801574707031},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2561396360397339},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18004357814788818},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08516824245452881}],"concepts":[{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7128182053565979},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7055118680000305},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6030907034873962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.539682924747467},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5244850516319275},{"id":"https://openalex.org/C93304396","wikidata":"https://www.wikidata.org/wiki/Q14763008","display_name":"Mitosis","level":2,"score":0.438849538564682},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43464455008506775},{"id":"https://openalex.org/C97912942","wikidata":"https://www.wikidata.org/wiki/Q7432937","display_name":"Schubert polynomial","level":2,"score":0.4263801574707031},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2561396360397339},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18004357814788818},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08516824245452881},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C95444343","wikidata":"https://www.wikidata.org/wiki/Q7141","display_name":"Cell biology","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":3,"locations":[{"id":"doi:10.1016/s0097-3165(03)00020-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-3165(03)00020-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.12.986","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.986","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe2.uni-bayreuth.de/axel/papers/./miller:mitosis_recursion_for_coefficients_of_schubert_polynomials.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.235.6245","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.6245","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/math/0212131v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1489169640","https://openalex.org/W1493018463","https://openalex.org/W1588982499","https://openalex.org/W1966137316","https://openalex.org/W1985484328","https://openalex.org/W2000642568","https://openalex.org/W2019363208","https://openalex.org/W2080720229","https://openalex.org/W2090874118","https://openalex.org/W2094594266","https://openalex.org/W3157736190"],"related_works":["https://openalex.org/W1976679120","https://openalex.org/W2377519369","https://openalex.org/W3202311233","https://openalex.org/W4281614748","https://openalex.org/W32024214","https://openalex.org/W2765883196","https://openalex.org/W2034826746","https://openalex.org/W2396919090","https://openalex.org/W2379816237","https://openalex.org/W2369572737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
