{"id":"https://openalex.org/W3037036896","doi":"https://doi.org/10.1112/plms.12401","title":"Bending laminations on convex hulls of anti\u2010de Sitter quasi\u2010circles","display_name":"Bending laminations on convex hulls of anti\u2010de Sitter quasi\u2010circles","publication_year":2021,"publication_date":"2021-04-08","ids":{"openalex":"https://openalex.org/W3037036896","doi":"https://doi.org/10.1112/plms.12401","mag":"3037036896"},"language":"en","primary_location":{"id":"doi:10.1112/plms.12401","doi":"https://doi.org/10.1112/plms.12401","is_oa":false,"landing_page_url":"https://doi.org/10.1112/plms.12401","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Proceedings of the London Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.13470","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Louis Merlin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Louis Merlin","raw_affiliation_strings":["RWTH University Chair of Geometry and Analysis Jakobstrasse 2 Aachen 52074 Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RWTH University Chair of Geometry and Analysis Jakobstrasse 2 Aachen 52074 Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072964081","display_name":"Jean\u2010Marc Schlenker","orcid":"https://orcid.org/0000-0002-0853-4512","observed_orcids":["https://orcid.org/0000-0002-0853-4512"]},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"Jean\u2010Marc Schlenker","raw_affiliation_strings":["Department of mathematics FSTM University of Luxembourg Maison du nombre, 6 avenue de la Fonte Esch\u2010sur\u2010Alzette L\u20104364 Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of mathematics FSTM University of Luxembourg Maison du nombre, 6 avenue de la Fonte Esch\u2010sur\u2010Alzette L\u20104364 Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072964081"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":{"value":3600,"currency":"USD","value_usd":3600},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"123","issue":"4","first_page":"410","last_page":"432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9731000065803528,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9731000065803528,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.012000000104308128,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.002199999988079071,"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/measured-laminations","display_name":"measured laminations","score":0.6570000052452087},{"id":"https://openalex.org/keywords/universal-teichmuller-space","display_name":"universal Teichm\u00fcller space","score":0.968999981880188},{"id":"https://openalex.org/keywords/anti-de-sitter-geometry","display_name":"anti-de Sitter geometry","score":0.9359999895095825},{"id":"https://openalex.org/keywords/convex-hull","display_name":"convex hull","score":0.7360000014305115},{"id":"https://openalex.org/keywords/hyperbolic-plane","display_name":"hyperbolic plane","score":0.7450000047683716},{"id":"https://openalex.org/keywords/fixed-points","display_name":"fixed points","score":0.6169999837875366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8389999866485596},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7559999823570251},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6438000202178955},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6406000256538391},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.567300021648407},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5134000182151794},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5012000203132629},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.4309999942779541},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.427700012922287},{"id":"https://openalex.org/C10728891","wikidata":"https://www.wikidata.org/wiki/Q584521","display_name":"Homeomorphism (graph theory)","level":2,"score":0.3882000148296356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3783999979496002},{"id":"https://openalex.org/C12773090","wikidata":"https://www.wikidata.org/wiki/Q3888851","display_name":"Ambient space","level":2,"score":0.350600004196167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35030001401901245},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.34689998626708984},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C107829132","wikidata":"https://www.wikidata.org/wiki/Q574780","display_name":"Anti-de Sitter space","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.3122999966144562},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.31150001287460327},{"id":"https://openalex.org/C7655956","wikidata":"https://www.wikidata.org/wiki/Q5282259","display_name":"Disjoint union (topology)","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29429998993873596},{"id":"https://openalex.org/C157498722","wikidata":"https://www.wikidata.org/wiki/Q34929","display_name":"Three-dimensional space","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.27250000834465027},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.27070000767707825},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.26339998841285706}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1112/plms.12401","doi":"https://doi.org/10.1112/plms.12401","is_oa":false,"landing_page_url":"https://doi.org/10.1112/plms.12401","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Proceedings of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.13470","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.13470","pdf_url":"https://arxiv.org/pdf/2006.13470","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,"listed_in":[],"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"},{"id":"pmh:oai:orbilu.uni.lu:10993/43578","doi":null,"is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/43578","pdf_url":"https://orbilu.uni.lu/bitstream/10993/43578/1/laminations.pdf","source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the London Mathematical Society, 123 (4), 410-432 (2021)","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:publications.rwth-aachen.de:818327","doi":null,"is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/818327","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the London Mathematical Society 123(4), 410-432 (2021). doi:10.1112/plms.12401","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2006.13470","doi":"https://doi.org/10.48550/arxiv.2006.13470","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.13470","pdf_url":null,"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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.13470","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.13470","pdf_url":"https://arxiv.org/pdf/2006.13470","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,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2016303378","display_name":"RNMS: Geometric structures and representation varieties","funder_award_id":"1107452","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2154494988","display_name":null,"funder_award_id":"OPEN/16/11405402","funder_id":"https://openalex.org/F4320321038","funder_display_name":"Fonds National de la Recherche Luxembourg"},{"id":"https://openalex.org/G6723794002","display_name":"RNMS: Geometric Structures and Representation Varieties","funder_award_id":"1107367","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8288644858","display_name":null,"funder_award_id":"INTER/ANR/15/11211745","funder_id":"https://openalex.org/F4320321038","funder_display_name":"Fonds National de la Recherche Luxembourg"},{"id":"https://openalex.org/G8830988314","display_name":"RNMS: Geometric Structures and Representation Varieties","funder_award_id":"1107263","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"},{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320324232","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037036896.pdf","grobid_xml":"https://content.openalex.org/works/W3037036896.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1486167853","https://openalex.org/W1517192115","https://openalex.org/W1570833651","https://openalex.org/W1982063441","https://openalex.org/W2077673765","https://openalex.org/W2085269918","https://openalex.org/W2093804587","https://openalex.org/W2105776550","https://openalex.org/W2112608979","https://openalex.org/W2134090618","https://openalex.org/W2138424655","https://openalex.org/W2150738407","https://openalex.org/W2151421044","https://openalex.org/W2158344147","https://openalex.org/W2547588252","https://openalex.org/W2614051700","https://openalex.org/W2921412593","https://openalex.org/W2936930006","https://openalex.org/W2936972602","https://openalex.org/W2963361221","https://openalex.org/W3020890039","https://openalex.org/W4292166790"],"related_works":["https://openalex.org/W2112608979","https://openalex.org/W2797370773","https://openalex.org/W2062184310","https://openalex.org/W1536996722","https://openalex.org/W7024271132","https://openalex.org/W2963918753","https://openalex.org/W2593219874","https://openalex.org/W4415765961","https://openalex.org/W4387636044","https://openalex.org/W1834210457"],"abstract_inverted_index":{"Let":[0],"\u03bb\u2212":[1,25],"and":[2,26,39],"\u03bb+":[3],"be":[4,109],"two":[5,82],"bounded":[6,102],"measured":[7,91,103],"laminations":[8,104],"on":[9],"the":[10,21,32,43,64,67,78,86],"hyperbolic":[11,87],"disk":[12],"H2,":[13],"which":[14],"\u201cstrongly":[15,106],"fill\u201d":[16,107],"(definition":[17],"below).":[18],"We":[19],"consider":[20],"left":[22,47],"earthquakes":[23,48],"along":[24,90],"\u03bb+,":[27],"considered":[28],"as":[29],"maps":[30],"from":[31],"universal":[33],"Teichm\u00fcller":[34],"space":[35],"T":[36],"to":[37],"itself,":[38],"we":[40],"prove":[41],"that":[42,98,105],"composition":[44],"of":[45,66,72,81,85,101],"those":[46],"has":[49],"a":[50,60],"fixed":[51],"point.":[52],"The":[53],"proof":[54],"uses":[55],"anti-de":[56],"Sitter":[57],"geometry.":[58],"Given":[59],"quasi-symmetric":[61],"homeomorphism":[62],"u:RP1\u2192RP1,":[63],"boundary":[65],"convex":[68],"hull":[69],"in":[70,75,111],"A\u2062d\u2062S3":[71],"its":[73],"graph":[74],"RP1\u00d7RP1\u2243\u2202A\u2062d\u2062S3":[76],"is":[77,97],"disjoint":[79],"union":[80],"embedded":[83],"copies":[84],"plane,":[88],"pleated":[89],"geodesic":[92],"laminations.":[93],"Our":[94],"main":[95],"result":[96],"any":[99],"pair":[100],"can":[108],"obtained":[110],"this":[112],"manner.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-07-02T00:00:00"}
