{"id":"https://openalex.org/W4415749756","doi":"https://doi.org/10.1007/978-3-032-09645-6_2","title":"Second-Order Parameterizations for the Complexity Theory of Integrable Functions","display_name":"Second-Order Parameterizations for the Complexity Theory of Integrable Functions","publication_year":2025,"publication_date":"2025-10-31","ids":{"openalex":"https://openalex.org/W4415749756","doi":"https://doi.org/10.1007/978-3-032-09645-6_2"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-09645-6_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-09645-6_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5091856064","display_name":"Aras Bacho","orcid":"https://orcid.org/0000-0002-2333-0884"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aras Bacho","raw_affiliation_strings":["California Institute of Technology (Caltech), Pasadena, USA"],"raw_orcid":"https://orcid.org/0000-0002-2333-0884","affiliations":[{"raw_affiliation_string":"California Institute of Technology (Caltech), Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101546631","display_name":"Martin Ziegler","orcid":"https://orcid.org/0000-0001-6734-7875"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Martin Ziegler","raw_affiliation_strings":["Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0001-6734-7875","affiliations":[{"raw_affiliation_string":"Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101546631"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.6538,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.95652174,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"27","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.32429999113082886,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.32429999113082886,"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/T11567","display_name":"semigroups and automata theory","score":0.07490000128746033,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.07400000095367432,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.7617999911308289},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.7437999844551086},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6395999789237976},{"id":"https://openalex.org/keywords/square-integrable-function","display_name":"Square-integrable function","score":0.44679999351501465},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4275999963283539},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4242999851703644},{"id":"https://openalex.org/keywords/locally-integrable-function","display_name":"Locally integrable function","score":0.4196999967098236},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.39570000767707825}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7617999911308289},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.7437999844551086},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6395999789237976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4697999954223633},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44679999351501465},{"id":"https://openalex.org/C75413324","wikidata":"https://www.wikidata.org/wiki/Q1530791","display_name":"Square-integrable function","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4242999851703644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42179998755455017},{"id":"https://openalex.org/C83295520","wikidata":"https://www.wikidata.org/wiki/Q1318586","display_name":"Locally integrable function","level":3,"score":0.4196999967098236},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.39570000767707825},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3862000107765198},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3779999911785126},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C64980692","wikidata":"https://www.wikidata.org/wiki/Q16191959","display_name":"Symbolic convergence theory","level":3,"score":0.3375000059604645},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3208000063896179},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.31700000166893005},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.3059000074863434},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.30250000953674316},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2969000041484833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2526000142097473},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.2524000108242035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-09645-6_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-09645-6_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1497475168","https://openalex.org/W1540827327","https://openalex.org/W1545761024","https://openalex.org/W1545819195","https://openalex.org/W1570425181","https://openalex.org/W1965442792","https://openalex.org/W2023572360","https://openalex.org/W2026953223","https://openalex.org/W2042459757","https://openalex.org/W2052388820","https://openalex.org/W2067459389","https://openalex.org/W2073085121","https://openalex.org/W2086349071","https://openalex.org/W2093400121","https://openalex.org/W2102100313","https://openalex.org/W2117033549","https://openalex.org/W2151750290","https://openalex.org/W2168229531","https://openalex.org/W2327509254","https://openalex.org/W2475799114","https://openalex.org/W2531200539","https://openalex.org/W2570115677","https://openalex.org/W2963508424","https://openalex.org/W2964458055","https://openalex.org/W3194584817","https://openalex.org/W4243563333","https://openalex.org/W4256299424","https://openalex.org/W4298053276","https://openalex.org/W4310819200","https://openalex.org/W4313594008","https://openalex.org/W4381143942","https://openalex.org/W4399973088","https://openalex.org/W4404836487"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-31T00:00:00"}
