{"id":"https://openalex.org/W2990330512","doi":"https://doi.org/10.3390/e21121178","title":"Relative Tail Pressure with Subadditive Potentials","display_name":"Relative Tail Pressure with Subadditive Potentials","publication_year":2019,"publication_date":"2019-11-29","ids":{"openalex":"https://openalex.org/W2990330512","doi":"https://doi.org/10.3390/e21121178","mag":"2990330512"},"language":"en","primary_location":{"id":"doi:10.3390/e21121178","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121178","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e21121178","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101058273","display_name":"Xianfeng Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xianfeng Ma","raw_affiliation_strings":["Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101014117","display_name":"Liu Baoli","orcid":null},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baoli Liu","raw_affiliation_strings":["Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052807376","display_name":"Ercai Chen","orcid":"https://orcid.org/0000-0002-2600-7548"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ercai Chen","raw_affiliation_strings":["School of Mathematical Science, Nanjing Normal University, Nanjing 210097, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Nanjing Normal University, Nanjing 210097, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101058273"],"corresponding_institution_ids":["https://openalex.org/I143593769"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25002558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"12","first_page":"1178","last_page":"1178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991000294685364,"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":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9289000034332275,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/subadditivity","display_name":"Subadditivity","score":0.9653739929199219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5966812372207642},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4927048981189728},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4359908699989319},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33696913719177246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33318406343460083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.281986266374588},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.23867130279541016}],"concepts":[{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.9653739929199219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5966812372207642},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4927048981189728},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4359908699989319},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33696913719177246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33318406343460083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.281986266374588},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.23867130279541016}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e21121178","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121178","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514523","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514523","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/12/1178/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21121178","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e21121178","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121178","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8852773011","display_name":"\u968f\u673a\u52a8\u529b\u7cfb\u7edf\u4e2d\u71b5\u7ed3\u6784\u4e0e\u70ed\u529b\u5b66\u5f62\u5f0f\u7684\u7814\u7a76","funder_award_id":"11471114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W20554700","https://openalex.org/W20854365","https://openalex.org/W28523712","https://openalex.org/W148721588","https://openalex.org/W188365343","https://openalex.org/W650719733","https://openalex.org/W848544808","https://openalex.org/W1498335665","https://openalex.org/W1532303937","https://openalex.org/W1802196594","https://openalex.org/W1968041289","https://openalex.org/W1970562443","https://openalex.org/W1971178571","https://openalex.org/W1976332414","https://openalex.org/W1984976263","https://openalex.org/W1989075956","https://openalex.org/W1993490528","https://openalex.org/W1999564420","https://openalex.org/W2016605514","https://openalex.org/W2032642373","https://openalex.org/W2032956341","https://openalex.org/W2048700122","https://openalex.org/W2051618987","https://openalex.org/W2074693497","https://openalex.org/W2116659310","https://openalex.org/W2314528276","https://openalex.org/W2596663721","https://openalex.org/W2962790072","https://openalex.org/W3103187212","https://openalex.org/W3146029931","https://openalex.org/W3191274338","https://openalex.org/W4231009334","https://openalex.org/W4256386243","https://openalex.org/W4295023611","https://openalex.org/W6838820478"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4288374528","https://openalex.org/W2942373159","https://openalex.org/W4391157351","https://openalex.org/W4245471134","https://openalex.org/W2966385870","https://openalex.org/W4400640026","https://openalex.org/W4283790219","https://openalex.org/W2944528978","https://openalex.org/W3109766892"],"abstract_inverted_index":{"The":[0],"relative":[1],"tail":[2],"pressure":[3,26],"with":[4],"subadditive":[5],"potentials":[6],"is":[7,21],"introduced":[8],"via":[9],"open":[10],"random":[11,16],"covers":[12],"for":[13],"continuous":[14],"bundle":[15],"transformations.":[17],"A":[18],"variational":[19],"principle":[20],"established":[22],"and":[23],"the":[24,33],"defined":[25],"turns":[27],"out":[28],"to":[29],"be":[30],"invariant":[31],"under":[32],"principal":[34],"extension.":[35]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
