{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:27:39Z","timestamp":1772285259491,"version":"3.50.1"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Eur. Math. Soc."],"accepted":{"date-parts":[[2015,8,2]]},"published-print":{"date-parts":[[2017,9,18]]},"abstract":"<jats:p>\n                    We consider partially hyperbolic\n                    <jats:inline-formula>\n                      <jats:tex-math>C^{1+}<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    diffeomorphisms of compact Riemannian manifolds of arbitrary dimension which admit a partially hyperbolic tangent bundle decomposition\n                    <jats:inline-formula>\n                      <jats:tex-math>E^s \\otimes E^{cu}<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    . Assuming the existence of a set of positive Lebesgue measure on which\n                    <jats:inline-formula>\n                      <jats:tex-math>f<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    satisfies a weak nonuniform expansivity assumption in the centre unstable direction, we prove that there exists at most a finite number of transitive attractors each of which supports an SRB measure. As part of our argument, we prove that each attractor admits a Gibbs\u2013Markov\u2013Young geometric structure with integrable return times. We also characterize in this setting SRB measures which are liftable to Gibbs\u2013Markov\u2013Young structures.\n                  <\/jats:p>","DOI":"10.4171\/jems\/731","type":"journal-article","created":{"date-parts":[[2017,9,18]],"date-time":"2017-09-18T17:45:07Z","timestamp":1505756707000},"page":"2911-2946","source":"Crossref","is-referenced-by-count":33,"title":["SRB measures for partially hyperbolic systems whose central direction is weakly expanding"],"prefix":"10.4171","volume":"19","author":[{"given":"Jos\u00e9 F.","family":"Alves","sequence":"first","affiliation":[{"name":"Universidade do Porto, Portugal"}]},{"given":"Carla L.","family":"Dias","sequence":"additional","affiliation":[{"name":"Instituto Polit\u00e9cnico de Portalegre, Portugal"}]},{"given":"Stefano","family":"Luzzatto","sequence":"additional","affiliation":[{"name":"Abdus Salam International Centre for Theoretical Physics, Trieste, Italy"}]},{"given":"Vilton","family":"Pinheiro","sequence":"additional","affiliation":[{"name":"Universidade Federal da Bahia, Salvador, Brazil"}]}],"member":"2673","container-title":["Journal of the European Mathematical Society"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/JEMS\/731","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,11]],"date-time":"2025-11-11T13:58:40Z","timestamp":1762869520000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/jems\/731"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,18]]},"references-count":0,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.4171\/jems\/731","relation":{},"ISSN":["1435-9855","1435-9863"],"issn-type":[{"value":"1435-9855","type":"print"},{"value":"1435-9863","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9,18]]}}}