{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T19:43:31Z","timestamp":1775850211500,"version":"3.50.1"},"reference-count":14,"publisher":"American Mathematical Society (AMS)","issue":"4","license":[{"start":{"date-parts":[[2003,11,20]],"date-time":"2003-11-20T00:00:00Z","timestamp":1069286400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc. Amer. Math. Soc."],"abstract":"<p>We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding. We also present a version of this result for diffeomorphisms with nonuniformly hyperbolic sets.<\/p>","DOI":"10.1090\/s0002-9939-02-06857-0","type":"journal-article","created":{"date-parts":[[2002,12,23]],"date-time":"2002-12-23T10:55:14Z","timestamp":1040640914000},"page":"1303-1309","source":"Crossref","is-referenced-by-count":27,"special_numbering":"526","title":["On the uniform hyperbolicity of some nonuniformly hyperbolic systems"],"prefix":"10.1090","volume":"131","author":[{"given":"Jos\u00e9","family":"Alves","sequence":"first","affiliation":[]},{"given":"V\u00edtor","family":"Ara\u00fajo","sequence":"additional","affiliation":[]},{"given":"Beno\u00eet","family":"Saussol","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2002,11,20]]},"reference":[{"key":"1","unstructured":"J. F. Alves, V. Ara\u00fajo, Random perturbations of nonuniformly expanding maps, to appear in Ast\u00e9risque."},{"key":"2","unstructured":"J. F. Alves, V. 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Tahzibi, Stably ergodic systems that are not partially hyperbolic, Preprint IMPA 2001."}],"container-title":["Proceedings of the American Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/proc\/2003-131-04\/S0002-9939-02-06857-0\/S0002-9939-02-06857-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/proc\/2003-131-04\/S0002-9939-02-06857-0\/S0002-9939-02-06857-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T18:47:00Z","timestamp":1775846820000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/proc\/2003-131-04\/S0002-9939-02-06857-0\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,11,20]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2003,4]]}},"alternative-id":["S0002-9939-02-06857-0"],"URL":"https:\/\/doi.org\/10.1090\/s0002-9939-02-06857-0","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6826","0002-9939"],"issn-type":[{"value":"1088-6826","type":"electronic"},{"value":"0002-9939","type":"print"}],"subject":[],"published":{"date-parts":[[2002,11,20]]}}}