{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T04:18:47Z","timestamp":1729570727516,"version":"3.28.0"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Port. Math."],"published-print":{"date-parts":[[2011,3,6]]},"abstract":"<jats:p>\n            We consider the class of \n            <jats:inline-formula>\n              <jats:tex-math>C^1<\/jats:tex-math>\n            <\/jats:inline-formula>\n             partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the \n            <jats:inline-formula>\n              <jats:tex-math>C^1<\/jats:tex-math>\n            <\/jats:inline-formula>\n            -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic \n            <jats:inline-formula>\n              <jats:tex-math>C^2<\/jats:tex-math>\n            <\/jats:inline-formula>\n             volume-preserving flow and so, as a consequence, ergodicity is dense.\n          <\/jats:p>","DOI":"10.4171\/pm\/1878","type":"journal-article","created":{"date-parts":[[2011,3,6]],"date-time":"2011-03-06T22:45:18Z","timestamp":1299451518000},"page":"1-17","source":"Crossref","is-referenced-by-count":1,"title":["Denseness of ergodicity for a class of volume-preserving flows"],"prefix":"10.4171","volume":"68","author":[{"given":"M\u00e1rio","family":"Bessa","sequence":"first","affiliation":[{"name":"Universidade do Porto, Portugal"}]},{"given":"Jorge","family":"Rocha","sequence":"additional","affiliation":[{"name":"Universidade do Porto, Portugal"}]}],"member":"2673","container-title":["Portugaliae Mathematica"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/PM\/1878","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T18:47:16Z","timestamp":1729536436000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/pm\/1878"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,3,6]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.4171\/pm\/1878","relation":{},"ISSN":["0032-5155","1662-2758"],"issn-type":[{"type":"print","value":"0032-5155"},{"type":"electronic","value":"1662-2758"}],"subject":[],"published":{"date-parts":[[2011,3,6]]}}}