{"id":"https://openalex.org/W172021561","doi":"https://doi.org/10.1007/978-3-642-21493-6_1","title":"Joint Spectral Radius Theory for Automated Complexity Analysis of Rewrite Systems","display_name":"Joint Spectral Radius Theory for Automated Complexity Analysis of Rewrite Systems","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W172021561","doi":"https://doi.org/10.1007/978-3-642-21493-6_1","mag":"172021561"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21493-6_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21493-6_1","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/A5049118633","display_name":"Aart Middeldorp","orcid":"https://orcid.org/0000-0001-7366-8464"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Aart Middeldorp","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050172197","display_name":"Georg Moser","orcid":"https://orcid.org/0000-0001-9240-6128"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Georg Moser","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044286856","display_name":"Friedrich Neurauter","orcid":null},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Friedrich Neurauter","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091737359","display_name":"Johannes Waldmann","orcid":null},"institutions":[{"id":"https://openalex.org/I147765834","display_name":"Leipzig University of Applied Sciences","ror":"https://ror.org/03xgcq477","country_code":"DE","type":"education","lineage":["https://openalex.org/I147765834"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Waldmann","raw_affiliation_strings":["Fakult\u00e4t Informatik, Mathematik und Naturwissenschaften, Hochschule f\u00fcr Technik, Wirtschaft und Kultur Leipzig, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t Informatik, Mathematik und Naturwissenschaften, Hochschule f\u00fcr Technik, Wirtschaft und Kultur Leipzig, Germany","institution_ids":["https://openalex.org/I147765834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028009961","display_name":"Harald Zankl","orcid":null},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Harald Zankl","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5049118633"],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.6695,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.94960784,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9977999925613403,"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/spectral-radius","display_name":"Spectral radius","score":0.6926119327545166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6396166682243347},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5322368741035461},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49362099170684814},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.48885148763656616},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48575904965400696},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46354788541793823},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4181128144264221},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.41617852449417114},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3522735834121704},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3432501554489136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31059616804122925},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18779900670051575},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07514163851737976}],"concepts":[{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.6926119327545166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6396166682243347},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5322368741035461},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49362099170684814},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.48885148763656616},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48575904965400696},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46354788541793823},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4181128144264221},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.41617852449417114},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3522735834121704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3432501554489136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31059616804122925},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18779900670051575},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07514163851737976},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-21493-6_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21493-6_1","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":28,"referenced_works":["https://openalex.org/W598205067","https://openalex.org/W624504192","https://openalex.org/W1504878076","https://openalex.org/W1517466677","https://openalex.org/W1552495765","https://openalex.org/W1568532679","https://openalex.org/W1583295953","https://openalex.org/W1584451387","https://openalex.org/W1606555018","https://openalex.org/W1622830285","https://openalex.org/W1642990561","https://openalex.org/W1643571618","https://openalex.org/W1673970604","https://openalex.org/W1913470731","https://openalex.org/W2072102045","https://openalex.org/W2111433946","https://openalex.org/W2119602299","https://openalex.org/W2133979039","https://openalex.org/W2136514805","https://openalex.org/W2158452175","https://openalex.org/W2169568716","https://openalex.org/W2610857016","https://openalex.org/W2798401172","https://openalex.org/W4206635485","https://openalex.org/W4230919050","https://openalex.org/W4233919006","https://openalex.org/W4238257903","https://openalex.org/W7073993478"],"related_works":["https://openalex.org/W2963001570","https://openalex.org/W2962954592","https://openalex.org/W2274753335","https://openalex.org/W1602350308","https://openalex.org/W2318654273","https://openalex.org/W2907203903","https://openalex.org/W2165348332","https://openalex.org/W2369247774","https://openalex.org/W3148147474","https://openalex.org/W2105065236"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}