{"id":"https://openalex.org/W1985490988","doi":"https://doi.org/10.1016/j.jde.2007.02.013","title":"Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics","display_name":"Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics","publication_year":2007,"publication_date":"2007-03-13","ids":{"openalex":"https://openalex.org/W1985490988","doi":"https://doi.org/10.1016/j.jde.2007.02.013","mag":"1985490988"},"language":"en","primary_location":{"id":"doi:10.1016/j.jde.2007.02.013","doi":"https://doi.org/10.1016/j.jde.2007.02.013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2007.02.013","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","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":"Journal of Differential Equations","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.jde.2007.02.013","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030248292","display_name":"Alberto Adrego Pinto","orcid":"https://orcid.org/0000-0003-2953-6688","observed_orcids":["https://orcid.org/0000-0003-2953-6688"]},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"A.A. Pinto","raw_affiliation_strings":["Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012032003","display_name":"David A. J. Rand","orcid":"https://orcid.org/0000-0002-2217-3274","observed_orcids":["https://orcid.org/0000-0002-2217-3274"]},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D.A. Rand","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100735461","display_name":"Fl\u00e1vio Ferreira","orcid":"https://orcid.org/0000-0001-7812-0983","observed_orcids":["https://orcid.org/0000-0001-7812-0983"]},"institutions":[{"id":"https://openalex.org/I83863532","display_name":"Universidade T\u00e9cnica do Porto","ror":"https://ror.org/04988re48","country_code":"PT","type":"education","lineage":["https://openalex.org/I83863532"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"F. Ferreira","raw_affiliation_strings":["E.S.E.I.G., Instituto Polit\u00e9cnico do Porto, R. D. Sancho I, 981, 4480-876 Vila do Conde, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E.S.E.I.G., Instituto Polit\u00e9cnico do Porto, R. D. Sancho I, 981, 4480-876 Vila do Conde, Portugal","institution_ids":["https://openalex.org/I83863532"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030248292"],"corresponding_institution_ids":["https://openalex.org/I182534213"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.4778,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75957523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":92},"biblio":{"volume":"243","issue":"2","first_page":"168","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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":0.9994999766349792,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.00019999999494757503,"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":0.0,"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/hausdorff-dimension","display_name":"Hausdorff dimension","score":0.9760000109672546},{"id":"https://openalex.org/keywords/holonomy","display_name":"holonomy","score":0.5},{"id":"https://openalex.org/keywords/hyperbolic-dynamics","display_name":"hyperbolic dynamics","score":0.972000002861023},{"id":"https://openalex.org/keywords/c1-regularity","display_name":"C1 regularity","score":0.503000020980835}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8916507959365845},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.8046442270278931},{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.8034159541130066},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7103063464164734},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5915024876594543},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5441166162490845},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5273690819740295},{"id":"https://openalex.org/C101597101","wikidata":"https://www.wikidata.org/wiki/Q2555655","display_name":"Minkowski\u2013Bouligand dimension","level":4,"score":0.5253305435180664},{"id":"https://openalex.org/C73225184","wikidata":"https://www.wikidata.org/wiki/Q1591095","display_name":"Hausdorff measure","level":3,"score":0.4994966983795166},{"id":"https://openalex.org/C115311070","wikidata":"https://www.wikidata.org/wiki/Q5347255","display_name":"Effective dimension","level":3,"score":0.49825263023376465},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4399036169052124},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.234887033700943},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.22032064199447632},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.049174338579177856},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/j.jde.2007.02.013","doi":"https://doi.org/10.1016/j.jde.2007.02.013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2007.02.013","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","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":"Journal of Differential Equations","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.985.7545","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.985.7545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.warwick.ac.uk/fac/sci/systemsbiology/staff/rand/research/affine_attrs.pdf","raw_type":"text"},{"id":"pmh:oai:recipp.ipp.pt:10400.22/6654","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.22/6654","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:repositorio-aberto.up.pt:10216/101972","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/10216/101972","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"journal article"},{"id":"pmh:oai:repositorio.inesctec.pt:123456789/2865","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.inesctec.pt/handle/123456789/2865","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1016/j.jde.2007.02.013","doi":"https://doi.org/10.1016/j.jde.2007.02.013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2007.02.013","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","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":"Journal of Differential Equations","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W579998544","https://openalex.org/W1498335665","https://openalex.org/W1533061882","https://openalex.org/W1550918041","https://openalex.org/W1589522393","https://openalex.org/W1593744618","https://openalex.org/W1889779043","https://openalex.org/W1965565198","https://openalex.org/W1978552647","https://openalex.org/W1983527595","https://openalex.org/W1987062414","https://openalex.org/W2013741628","https://openalex.org/W2015861663","https://openalex.org/W2019436220","https://openalex.org/W2020295960","https://openalex.org/W2021505539","https://openalex.org/W2023849209","https://openalex.org/W2034001204","https://openalex.org/W2034154786","https://openalex.org/W2049689740","https://openalex.org/W2058065433","https://openalex.org/W2065726492","https://openalex.org/W2084923242","https://openalex.org/W2093965920","https://openalex.org/W2124740519","https://openalex.org/W2136321292","https://openalex.org/W2146369483","https://openalex.org/W2166168812","https://openalex.org/W2482597935","https://openalex.org/W2577608236","https://openalex.org/W3192731213","https://openalex.org/W4206197329","https://openalex.org/W4239616470","https://openalex.org/W7065359961"],"related_works":["https://openalex.org/W7038337662","https://openalex.org/W2019436220","https://openalex.org/W1496969442","https://openalex.org/W4206723782","https://openalex.org/W2133143355","https://openalex.org/W3206354622","https://openalex.org/W2007972441","https://openalex.org/W2509288355","https://openalex.org/W2036113090","https://openalex.org/W7046458631"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
