{"id":"https://openalex.org/W7104515753","doi":"https://doi.org/10.1145/3747199.3747565","title":"Positivity Proofs for Linear Recurrences with Several Dominant Eigenvalues","display_name":"Positivity Proofs for Linear Recurrences with Several Dominant Eigenvalues","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W7104515753","doi":"https://doi.org/10.1145/3747199.3747565"},"language":"en","primary_location":{"id":"doi:10.1145/3747199.3747565","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3747199.3747565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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":null,"display_name":"Alaa Ibrahim","orcid":"https://orcid.org/0009-0009-7886-0880"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alaa Ibrahim","raw_affiliation_strings":["Rhone, INRIA, ENS De Lyon, Lyon, France"],"raw_orcid":"https://orcid.org/0009-0009-7886-0880","affiliations":[{"raw_affiliation_string":"Rhone, INRIA, ENS De Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I113428412"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.64193453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"224","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.22310000658035278,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.22310000658035278,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.11140000075101852,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.08730000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5947999954223633},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5656999945640564},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4975999891757965},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.31610000133514404},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.31220000982284546},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.31130000948905945}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7203999757766724},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5947999954223633},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5656999945640564},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4975999891757965},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4147000014781952},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.31130000948905945},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3095000088214874},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2863999903202057},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.2529999911785126}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3747199.3747565","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3747199.3747565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-05446330v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-05446330","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC '25: International Symposium on Symbolic and Algebraic Computation, Jul 2025, Guanajuato Mexico, France. pp.224-232, ⟨10.1145/3747199.3747565⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1415606103","display_name":null,"funder_award_id":"ANR-20-CE48-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1551177513","https://openalex.org/W1797219784","https://openalex.org/W1864094877","https://openalex.org/W1969656981","https://openalex.org/W1987402948","https://openalex.org/W1999878649","https://openalex.org/W2002543270","https://openalex.org/W2010228859","https://openalex.org/W2012129707","https://openalex.org/W2013562423","https://openalex.org/W2031686193","https://openalex.org/W2033923703","https://openalex.org/W2055334714","https://openalex.org/W2068623779","https://openalex.org/W2269537200","https://openalex.org/W2612425693","https://openalex.org/W2781303448","https://openalex.org/W2955693445","https://openalex.org/W3013983766","https://openalex.org/W3098527848","https://openalex.org/W4200040756","https://openalex.org/W4229917934","https://openalex.org/W4388473819","https://openalex.org/W6966716003"],"related_works":[],"abstract_inverted_index":{"Deciding":[0],"the":[1],"positivity":[2],"of":[3],"a":[4,8,17],"sequence":[5],"defined":[6],"by":[7],"linear":[9],"recurrence":[10],"and":[11],"initial":[12],"conditions":[13],"is,":[14],"in":[15],"general,":[16],"hard":[18],"problem.":[19]},"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-11-10T00:00:00"}