{"id":"https://openalex.org/W2476980550","doi":"https://doi.org/10.1007/978-3-319-40189-8_15","title":"Towards Computational Complexity Theory on Advanced Function Spaces in Analysis","display_name":"Towards Computational Complexity Theory on Advanced Function Spaces in Analysis","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2476980550","doi":"https://doi.org/10.1007/978-3-319-40189-8_15","mag":"2476980550"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-40189-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-40189-8_15","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":"book-chapter","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/A5074573236","display_name":"Akitoshi Kawamura","orcid":"https://orcid.org/0009-0006-3706-7470"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akitoshi Kawamura","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108295991","display_name":"Florian Steinberg","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"Florian Steinberg","raw_affiliation_strings":["TU Darmstadt, Darmstadt, Germany","The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"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/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]},{"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":["DE","KR"],"is_corresponding":true,"raw_author_name":"Martin Ziegler","raw_affiliation_strings":["KAIST, Daejeon, The Republic of Korea","TU Darmstadt, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"KAIST, Daejeon, The Republic of Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101546631"],"corresponding_institution_ids":["https://openalex.org/I157485424","https://openalex.org/I31512782"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0023,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84746835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"142","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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/T11567","display_name":"semigroups and automata theory","score":0.9876000285148621,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9815000295639038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.6838439702987671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5495827794075012},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5139862895011902},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.45752912759780884},{"id":"https://openalex.org/keywords/real-valued-function","display_name":"Real-valued function","score":0.45052865147590637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4504653811454773},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.44539880752563477},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39462053775787354},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35426226258277893},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32554298639297485},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30832040309906006}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.6838439702987671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5495827794075012},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5139862895011902},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.45752912759780884},{"id":"https://openalex.org/C130231550","wikidata":"https://www.wikidata.org/wiki/Q5189500","display_name":"Real-valued function","level":2,"score":0.45052865147590637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4504653811454773},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.44539880752563477},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39462053775787354},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35426226258277893},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32554298639297485},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30832040309906006}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-40189-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-40189-8_15","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":32,"referenced_works":["https://openalex.org/W129705174","https://openalex.org/W223861748","https://openalex.org/W235490522","https://openalex.org/W1497475168","https://openalex.org/W1517853613","https://openalex.org/W1540827327","https://openalex.org/W1545819195","https://openalex.org/W1582285885","https://openalex.org/W1835642604","https://openalex.org/W1965442792","https://openalex.org/W1975831503","https://openalex.org/W1978001037","https://openalex.org/W2006786362","https://openalex.org/W2016282992","https://openalex.org/W2020430463","https://openalex.org/W2023572360","https://openalex.org/W2036258793","https://openalex.org/W2056963858","https://openalex.org/W2072573877","https://openalex.org/W2080359559","https://openalex.org/W2117033549","https://openalex.org/W2167006824","https://openalex.org/W2169277847","https://openalex.org/W2207885555","https://openalex.org/W2255795236","https://openalex.org/W2463138077","https://openalex.org/W2570115677","https://openalex.org/W2575902066","https://openalex.org/W2611511037","https://openalex.org/W2977793662","https://openalex.org/W3122465989","https://openalex.org/W4243563333"],"related_works":["https://openalex.org/W98540345","https://openalex.org/W2962921822","https://openalex.org/W4389946807","https://openalex.org/W4376312568","https://openalex.org/W2278478416","https://openalex.org/W4236179144","https://openalex.org/W1533694441","https://openalex.org/W1512259211","https://openalex.org/W2046021909","https://openalex.org/W1595955265"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}