{"id":"https://openalex.org/W1974958190","doi":"https://doi.org/10.1137/09077864x","title":"Computer-Assisted Verification Method for Invariant Densities and Rates of Decay of Correlations","display_name":"Computer-Assisted Verification Method for Invariant Densities and Rates of Decay of Correlations","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1974958190","doi":"https://doi.org/10.1137/09077864x","mag":"1974958190"},"language":"en","primary_location":{"id":"doi:10.1137/09077864x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09077864x","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5053450580","display_name":"Ippei Obayashi","orcid":"https://orcid.org/0000-0002-7207-7280"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Obayashi Ippei","raw_affiliation_strings":["Kyoto univ"],"affiliations":[{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053450580"],"corresponding_institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"],"apc_list":null,"apc_paid":null,"fwci":0.8595,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.65227911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"2","first_page":"788","last_page":"816"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9783999919891357,"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":0.9783999919891357,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9538999795913696,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/invariant","display_name":"Invariant (physics)","score":0.7813718914985657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46043533086776733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3533909320831299},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3502744436264038},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07504206895828247}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7813718914985657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46043533086776733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3533909320831299},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3502744436264038},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07504206895828247}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/09077864x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09077864x","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1990804524","https://openalex.org/W1993525005","https://openalex.org/W1995242373","https://openalex.org/W1997815317","https://openalex.org/W2013458510","https://openalex.org/W2020555549","https://openalex.org/W2052914967","https://openalex.org/W2055168065","https://openalex.org/W2088210277","https://openalex.org/W2089516856","https://openalex.org/W2114383282","https://openalex.org/W2118273209","https://openalex.org/W2121020818","https://openalex.org/W2171966863"],"related_works":["https://openalex.org/W2376950174","https://openalex.org/W2327475189","https://openalex.org/W2076662497","https://openalex.org/W2088544526","https://openalex.org/W2028178657","https://openalex.org/W2386767533","https://openalex.org/W2969166246","https://openalex.org/W4220920547","https://openalex.org/W2328025319","https://openalex.org/W1970980611"],"abstract_inverted_index":{"A":[0],"new":[1,16],"computer-assisted":[2],"verification":[3,35],"method":[4,17],"for":[5],"invariant":[6,30],"densities":[7],"and":[8],"decay":[9],"rates":[10],"of":[11,27,29],"correlations":[12],"is":[13,18],"proposed.":[14],"This":[15],"based":[19],"on":[20],"the":[21],"Hilbert":[22],"cone":[23],"technique.MSC":[24],"codes37A2537M2537E0565G20Keywordsdynamical":[25],"systemsergodicitydecay":[26],"correlationsapproximation":[28],"measurealgorithms":[31],"with":[32],"automatic":[33],"result":[34]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
