{"id":"https://openalex.org/W7214995759","doi":"https://doi.org/10.48550/arxiv.2609.37695","title":"Codimension-one holomorphic Anosov diffeomorphisms","display_name":"Codimension-one holomorphic Anosov diffeomorphisms","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214995759","doi":"https://doi.org/10.48550/arxiv.2609.37695"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.37695","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37695","pdf_url":"https://arxiv.org/pdf/2609.37695","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.37695","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153620987","display_name":"Jiesong Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Zhang, Jiesong","raw_affiliation_strings":["Department of Mathematics , Kungliga Tekniska h\u00f6gskolan , Lindstedtsv\u00e4gen 25 , SE-100 44 Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Kungliga Tekniska h\u00f6gskolan , Lindstedtsv\u00e4gen 25 , SE-100 44 Stockholm , Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5153620987"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9897000193595886,"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":0.9897000193595886,"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/T12351","display_name":"Geometry and complex manifolds","score":0.007699999958276749,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.0005000000237487257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperbolic-automorphisms","display_name":"hyperbolic automorphisms","score":0.9399999976158142},{"id":"https://openalex.org/keywords/complex-tori","display_name":"complex tori","score":0.9959999918937683},{"id":"https://openalex.org/keywords/compact-complex-manifolds","display_name":"compact complex manifolds","score":0.8769999742507935}],"concepts":[{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.8104000091552734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7889000177383423},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7480999827384949},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6952000260353088},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5741999745368958},{"id":"https://openalex.org/C27602778","wikidata":"https://www.wikidata.org/wiki/Q578874","display_name":"Complex manifold","level":3,"score":0.5730999708175659},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5292999744415283},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C168185519","wikidata":"https://www.wikidata.org/wiki/Q5156577","display_name":"Complex dimension","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C45237699","wikidata":"https://www.wikidata.org/wiki/Q1038716","display_name":"Identity theorem","level":3,"score":0.34850001335144043},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.32339999079704285},{"id":"https://openalex.org/C155673373","wikidata":"https://www.wikidata.org/wiki/Q1648886","display_name":"Structural stability","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28360000252723694},{"id":"https://openalex.org/C50429861","wikidata":"https://www.wikidata.org/wiki/Q3554830","display_name":"Stable manifold","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C45542137","wikidata":"https://www.wikidata.org/wiki/Q381040","display_name":"Complex conjugate","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C42030387","wikidata":"https://www.wikidata.org/wiki/Q944297","display_name":"Open mapping theorem (functional analysis)","level":5,"score":0.25769999623298645}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.37695","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37695","pdf_url":"https://arxiv.org/pdf/2609.37695","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":"doi:10.48550/arxiv.2609.37695","doi":"https://doi.org/10.48550/arxiv.2609.37695","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37695","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.37695","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37695","pdf_url":"https://arxiv.org/pdf/2609.37695","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214995759.pdf","grobid_xml":"https://content.openalex.org/works/W7214995759.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7165032370"],"related_works":["https://openalex.org/W2051038388","https://openalex.org/W1975747585","https://openalex.org/W2949801577","https://openalex.org/W2084923242","https://openalex.org/W2795794454","https://openalex.org/W1703146480","https://openalex.org/W2147169570","https://openalex.org/W2006300792","https://openalex.org/W2060175584","https://openalex.org/W4386942688"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"every":[3],"codimension-one":[4,33],"holomorphic":[5],"Anosov":[6],"diffeomorphism":[7],"of":[8,21,29],"a":[9,18,22,27],"compact":[10],"connected":[11],"complex":[12,23,39],"manifold":[13],"is":[14],"biholomorphically":[15],"conjugate":[16],"to":[17],"hyperbolic":[19],"automorphism":[20],"torus.":[24],"This":[25],"verifies":[26],"conjecture":[28],"Ghys":[30],"in":[31,36,38],"the":[32],"case":[34],"and,":[35],"particular,":[37],"dimension":[40],"three.":[41]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}
