{"id":"https://openalex.org/W1969617450","doi":"https://doi.org/10.1142/s0219525914500076","title":"COMPARISON BETWEEN DIFFERENT METHODS OF LEVEL IDENTIFICATION","display_name":"COMPARISON BETWEEN DIFFERENT METHODS OF LEVEL IDENTIFICATION","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W1969617450","doi":"https://doi.org/10.1142/s0219525914500076","mag":"1969617450"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525914500076","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525914500076","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex 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/A5005858068","display_name":"Oliver Pfante","orcid":"https://orcid.org/0000-0002-7622-3820"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"OLIVER PFANTE","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103, Leipzig, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017316523","display_name":"Nils Bertschinger","orcid":"https://orcid.org/0000-0002-6699-9596"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"NILS BERTSCHINGER","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103, Leipzig, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074755166","display_name":"Eckehard Olbrich","orcid":"https://orcid.org/0000-0002-3987-1271"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"ECKEHARD OLBRICH","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103, Leipzig, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065926474","display_name":"Nihat Ay","orcid":"https://orcid.org/0000-0002-8527-2579"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"NIHAT AY","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA","institution_ids":["https://openalex.org/I1308548392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072990982","display_name":"J\u00fcrgen Jost","orcid":"https://orcid.org/0000-0001-5258-6590"},"institutions":[{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"J\u00dcRGEN JOST","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA","institution_ids":["https://openalex.org/I1308548392"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5005858068"],"corresponding_institution_ids":["https://openalex.org/I4210091327"],"apc_list":null,"apc_paid":null,"fwci":6.7656,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.96675429,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"17","issue":"02","first_page":"1450007","last_page":"1450007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.8970000147819519,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.8970000147819519,"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/T14082","display_name":"Modeling, Simulation, and Optimization","score":0.8949999809265137,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8748999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.8535729050636292},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.6543459892272949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5433015823364258},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.46762141585350037},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4528083801269531},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43421223759651184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42647695541381836},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37755459547042847},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15155398845672607},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09594890475273132},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.0689581036567688},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05846455693244934}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.8535729050636292},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.6543459892272949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5433015823364258},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.46762141585350037},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4528083801269531},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43421223759651184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42647695541381836},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37755459547042847},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15155398845672607},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09594890475273132},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0689581036567688},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05846455693244934},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":6,"locations":[{"id":"doi:10.1142/s0219525914500076","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525914500076","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.401.4652","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.401.4652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.santafe.edu/media/workingpapers/13-11-035.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:17:y:2014:i:02:n:s0219525914500076","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525914500076","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:17:y:2014:i:02:p:1450007-1-1450007-21","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525914500076","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:edoc.mpg.de:708568","is_oa":false,"landing_page_url":"http://edoc.mpg.de/708568","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Complex Systems, v.17 (2014)","raw_type":"Article"},{"id":"pmh:oai:tore.tuhh.de:11420/14500","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/14500","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320324316","display_name":"Klaus Tschira Stiftung","ror":"https://ror.org/052jep661"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1975602835","https://openalex.org/W2005233622","https://openalex.org/W2054162326","https://openalex.org/W2084092103","https://openalex.org/W2088452582","https://openalex.org/W2101170002","https://openalex.org/W2478708596"],"related_works":["https://openalex.org/W2931688134","https://openalex.org/W2377919138","https://openalex.org/W2378857091","https://openalex.org/W4256502920","https://openalex.org/W103652678","https://openalex.org/W4226090359","https://openalex.org/W4302576814","https://openalex.org/W1991083800","https://openalex.org/W2166690231","https://openalex.org/W2950637221"],"abstract_inverted_index":{"Levels":[0],"of":[1,19,40,51,66,79,83],"a":[2,13,41,77],"complex":[3],"system":[4],"are":[5,74],"characterized":[6],"by":[7,76],"the":[8,38,64,71,84],"fact":[9],"that":[10,25],"they":[11],"admit":[12],"closed":[14,42],"functional":[15],"description":[16,43],"in":[17,34],"terms":[18],"concepts":[20],"and":[21,54,81],"quantities":[22],"intrinsic":[23],"to":[24,36,63],"level.":[26],"Several":[27],"ideas":[28],"have":[29],"come":[30],"up":[31],"so":[32],"far":[33],"order":[35],"make":[37],"notion":[39],"precise.":[44],"In":[45],"this":[46],"paper,":[47],"we":[48],"present":[49],"four":[50],"these":[52],"approaches":[53],"investigate":[55],"their":[56],"mutual":[57],"relationships.":[58],"Our":[59],"study":[60],"is":[61],"restricted":[62],"case":[65],"discrete":[67],"dynamical":[68],"systems,":[69],"where":[70],"different":[72],"levels":[73],"linked":[75],"coarse-graining":[78],"variables":[80],"states":[82],"system.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}