{"id":"https://openalex.org/W1995693336","doi":"https://doi.org/10.1112/jlms/jdu081","title":"Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland","display_name":"Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland","publication_year":2015,"publication_date":"2015-02-08","ids":{"openalex":"https://openalex.org/W1995693336","doi":"https://doi.org/10.1112/jlms/jdu081","mag":"1995693336"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdu081","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu081","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://doi.org/10.1112/jlms/jdu081","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111661422","display_name":"Salvador Addas\u2010Zanata","orcid":"https://orcid.org/0000-0001-5844-4868"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Salvador Addas-Zanata","raw_affiliation_strings":["Instituto de Matema\u0301tica e Estati\u0301stica, Universidade de Sa\u0303o Paulo, Rua do Mata\u0303o 1010, Cidade Universita\u0301ria, 05508-090 Sa\u0303o Paulo, SP, Brazil","Instituto de Matem\u00e1tica e Estat\u00edsticaUniversidade de S\u00e3o PauloRua do Mat\u00e3o 1010, Cidade Universit\u00e1ria05508-090 S\u00e3o Paulo, SPBrazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matema\u0301tica e Estati\u0301stica, Universidade de Sa\u0303o Paulo, Rua do Mata\u0303o 1010, Cidade Universita\u0301ria, 05508-090 Sa\u0303o Paulo, SP, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edsticaUniversidade de S\u00e3o PauloRua do Mat\u00e3o 1010, Cidade Universit\u00e1ria05508-090 S\u00e3o Paulo, SPBrazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111661422"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":3.8293,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92761328,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"91","issue":"2","first_page":"537","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9995999932289124,"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":0.9995999932289124,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9599000215530396,"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/mathematics","display_name":"Mathematics","score":0.8157303333282471},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.7456621527671814},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6676937937736511},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.6523780822753906},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6200703978538513},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6153691411018372},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.6066561937332153},{"id":"https://openalex.org/keywords/rotation-number","display_name":"Rotation number","score":0.564327597618103},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5291759371757507},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5036548972129822},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4818645417690277},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4526618719100952},{"id":"https://openalex.org/keywords/clifford-torus","display_name":"Clifford torus","score":0.45221319794654846},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4464603066444397},{"id":"https://openalex.org/keywords/identity-function","display_name":"Identity function","score":0.4138239026069641},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4120931625366211},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.09143555164337158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06752195954322815}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8157303333282471},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7456621527671814},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6676937937736511},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.6523780822753906},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6200703978538513},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6153691411018372},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.6066561937332153},{"id":"https://openalex.org/C135007989","wikidata":"https://www.wikidata.org/wiki/Q643156","display_name":"Rotation number","level":3,"score":0.564327597618103},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5291759371757507},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5036548972129822},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4818645417690277},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4526618719100952},{"id":"https://openalex.org/C56402544","wikidata":"https://www.wikidata.org/wiki/Q5133090","display_name":"Clifford torus","level":3,"score":0.45221319794654846},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4464603066444397},{"id":"https://openalex.org/C33222762","wikidata":"https://www.wikidata.org/wiki/Q321119","display_name":"Identity function","level":2,"score":0.4138239026069641},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4120931625366211},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.09143555164337158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06752195954322815},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/jlms/jdu081","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu081","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:002713929","is_oa":true,"landing_page_url":"http://doi.org/10.1112/jlms/jdu081","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1403.7533","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1403.7533","pdf_url":"https://arxiv.org/pdf/1403.7533","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:002713929","is_oa":true,"landing_page_url":"http://doi.org/10.1112/jlms/jdu081","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1965385865","https://openalex.org/W1985055569","https://openalex.org/W1985734796","https://openalex.org/W1986372238","https://openalex.org/W2014867214","https://openalex.org/W2021322206","https://openalex.org/W2023615234","https://openalex.org/W2061398172","https://openalex.org/W2079486987","https://openalex.org/W2092222519","https://openalex.org/W2102179768","https://openalex.org/W2118977888","https://openalex.org/W2951429641","https://openalex.org/W2963552780","https://openalex.org/W3099886059","https://openalex.org/W4229866217","https://openalex.org/W4247285278"],"related_works":["https://openalex.org/W1982638492","https://openalex.org/W1999691395","https://openalex.org/W2022597162","https://openalex.org/W2951884279","https://openalex.org/W2150723644","https://openalex.org/W2964196195","https://openalex.org/W2062447364","https://openalex.org/W2609732809","https://openalex.org/W1838941924","https://openalex.org/W2078234563"],"abstract_inverted_index":{"We":[0,25,101],"consider":[1],"C":[2],"1":[3],"+":[4],"\u03f5":[5],"diffeomorphisms":[6],"of":[7,33,40,43,52,77,85,94,110,113,121],"the":[8,16,31,36,50,53,74,78,86,108,114,122],"torus,":[9],"denoted":[10],"by":[11,98,117],"f":[12,44,70],",":[13,45],"homotopic":[14],"to":[15,47,63],"identity":[17],"and":[18,56],"whose":[19],"rotation":[20,54,75,87,115],"sets":[21],"have":[22],"non-empty":[23],"interior.":[24],"give":[26],"some":[27,104],"uniform":[28],"bounds":[29],"on":[30,107],"displacement":[32],"points":[34,112],"in":[35,49,61],"plane":[37],"under":[38],"iterates":[39],"a":[41,68,91,95],"lift":[42],"relative":[46],"vectors":[48],"boundary":[51],"set":[55,116],"we":[57],"use":[58],"these":[59],"estimates":[60],"order":[62],"prove":[64],"that":[65],"if":[66],"such":[67],"diffeomorphism":[69],"preserves":[71],"area,":[72],"then":[73],"vector":[76],"area":[79],"measure":[80],"is":[81],"an":[82],"interior":[83],"point":[84],"set.":[88],"This":[89],"settles":[90],"strong":[92],"version":[93],"conjecture":[96],"proposed":[97],"Philip":[99],"Boyland.":[100],"also":[102],"present":[103],"new":[105],"results":[106],"realization":[109],"extremal":[111],"compact":[118],"f-invariant":[119],"subsets":[120],"torus.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}