{"id":"https://openalex.org/W4286690957","doi":"https://doi.org/10.1016/j.aim.2026.111216","title":"Orbital equivalence classes of finite coverings of geodesic flows","display_name":"Orbital equivalence classes of finite coverings of geodesic flows","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W4286690957","doi":"https://doi.org/10.1016/j.aim.2026.111216"},"language":"en","primary_location":{"id":"doi:10.1016/j.aim.2026.111216","doi":"https://doi.org/10.1016/j.aim.2026.111216","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111216","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","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/2205.02495","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071567822","display_name":"Thierry Barbot","orcid":"https://orcid.org/0000-0002-6933-6886","observed_orcids":["https://orcid.org/0000-0002-6933-6886"]},"institutions":[{"id":"https://openalex.org/I4405266840","display_name":"Laboratoire de Math\u00e9matiques d'Avignon","ror":"https://ror.org/000d7xf38","country_code":"FR","type":"education","lineage":["https://openalex.org/I198415970","https://openalex.org/I4405266840"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Barbot","raw_affiliation_strings":["Avignon Universit\u00e9, LMA, Campus Jean-Henri Fabre, 301, rue Baruch de Spinoza, F-84 916 Avignon Cedex 9, France","EA2151 Laboratoire de Math\u00e9matiques d'Avignon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Avignon Universit\u00e9, LMA, Campus Jean-Henri Fabre, 301, rue Baruch de Spinoza, F-84 916 Avignon Cedex 9, France","institution_ids":["https://openalex.org/I4405266840"]},{"raw_affiliation_string":"EA2151 Laboratoire de Math\u00e9matiques d'Avignon","institution_ids":["https://openalex.org/I4405266840"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065511615","display_name":"S\u00e9rgio R. Fenley","orcid":"https://orcid.org/0000-0001-6584-5408","observed_orcids":["https://orcid.org/0000-0001-6584-5408"]},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S\u00e9rgio R. Fenley","raw_affiliation_strings":["Florida State University, Tallahassee, FL 32306-4510, USA","Florida State University [Tallahassee]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University, Tallahassee, FL 32306-4510, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Florida State University [Tallahassee]","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065511615"],"corresponding_institution_ids":["https://openalex.org/I103163165"],"apc_list":{"value":3790,"currency":"USD","value_usd":3790},"apc_paid":null,"fwci":7.3109,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.96394189,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"503","issue":null,"first_page":"111216","last_page":"111216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9901999831199646,"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":0.9901999831199646,"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":0.003599999938160181,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.0017000000225380063,"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/anosov-flows","display_name":"Anosov flows","score":0.9459999799728394},{"id":"https://openalex.org/keywords/geodesic-flow","display_name":"geodesic flow","score":0.925000011920929},{"id":"https://openalex.org/keywords/finite-covers","display_name":"finite covers","score":0.8809999823570251},{"id":"https://openalex.org/keywords/closed-3-manifolds","display_name":"closed 3-manifolds","score":0.8740000128746033},{"id":"https://openalex.org/keywords/unit-tangent-bundle","display_name":"unit tangent bundle","score":0.9150000214576721},{"id":"https://openalex.org/keywords/hyperbolic-surfaces","display_name":"hyperbolic surfaces","score":0.625}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7007336020469666},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6461142301559448},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5913077592849731},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5515822172164917},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5011088848114014},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43321162462234497},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36202532052993774},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3606222867965698}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/j.aim.2026.111216","doi":"https://doi.org/10.1016/j.aim.2026.111216","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111216","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2205.02495","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.02495","pdf_url":"https://arxiv.org/pdf/2205.02495","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:HAL:hal-03657558v2","doi":null,"is_oa":true,"landing_page_url":"https://univ-avignon.hal.science/hal-03657558","pdf_url":"https://univ-avignon.hal.science/hal-03657558/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2024","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03657558v1","doi":null,"is_oa":true,"landing_page_url":"https://univ-avignon.hal.science/hal-03657558","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://univ-avignon.hal.science/hal-03657558","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2205.02495","doi":"https://doi.org/10.48550/arxiv.2205.02495","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2205.02495","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:2205.02495","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.02495","pdf_url":"https://arxiv.org/pdf/2205.02495","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/G1298932444","display_name":null,"funder_award_id":"280422","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G2775134233","display_name":null,"funder_award_id":"637554","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G8890146009","display_name":"Partially Hyperbolic Diffeomorphisms, Foliations, and Flows","funder_award_id":"2054909","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/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286690957.pdf","grobid_xml":"https://content.openalex.org/works/W4286690957.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W2051234948","https://openalex.org/W2076137773","https://openalex.org/W2084633334","https://openalex.org/W2097145367","https://openalex.org/W2140313370","https://openalex.org/W2314888565","https://openalex.org/W4251663627","https://openalex.org/W4392906989","https://openalex.org/W4408716352","https://openalex.org/W4409352433"],"related_works":["https://openalex.org/W2140313370","https://openalex.org/W2739246551","https://openalex.org/W7223025267","https://openalex.org/W2079768553","https://openalex.org/W4391766999","https://openalex.org/W2944571349","https://openalex.org/W6948818617","https://openalex.org/W1981214984","https://openalex.org/W3196795518","https://openalex.org/W2003048328"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2022-07-23T00:00:00"}