{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T20:58:38Z","timestamp":1648846718610},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stoch. Dyn."],"published-print":{"date-parts":[[2008,12]]},"abstract":"<jats:p> We consider an infinite dimensional separable Hilbert space and its family of compact integrable cocycles over a dynamical system f. Assuming that f acts in a compact Hausdorff space X and preserves a Borel regular ergodic probability which is positive on non-empty open sets, we conclude that there is a C<jats:sup>0<\/jats:sup>-residual subset of cocycles within which, for almost every x, either the Oseledets\u2013Ruelle's decomposition along the orbit of x is dominated or all the Lyapunov exponents are equal to -\u221e. <\/jats:p>","DOI":"10.1142\/s0219493708002470","type":"journal-article","created":{"date-parts":[[2008,10,29]],"date-time":"2008-10-29T05:32:55Z","timestamp":1225258375000},"page":"593-611","source":"Crossref","is-referenced-by-count":3,"title":["ON THE LYAPUNOV SPECTRUM OF INFINITE DIMENSIONAL RANDOM PRODUCTS OF COMPACT OPERATORS"],"prefix":"10.1142","volume":"08","author":[{"given":"M\u00c1RIO","family":"BESSA","sequence":"first","affiliation":[{"name":"CMUP, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal"}]},{"given":"MARIA","family":"CARVALHO","sequence":"additional","affiliation":[{"name":"CMUP, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12878-7"},{"key":"rf2","first-page":"1667","volume":"22","author":"Bochi J.","journal-title":"Erg. Th. Dynam. Sys."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2005.161.1423"},{"key":"rf4","volume-title":"Differential Forms in Algebraic Topology","author":"Bott R.","year":"1991"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-9892-2"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-98-04067-2"},{"key":"rf7","volume-title":"Methods of Modern Mathematical Physics, Vol. I: Functional Analysis","author":"Reed M.","year":"1972"},{"key":"rf8","volume-title":"Real and Complex Analysis","author":"Rudin W.","year":"1987"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.2307\/1971392"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0313-8"}],"container-title":["Stochastics and Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219493708002470","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T13:38:20Z","timestamp":1565098700000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219493708002470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12]]},"references-count":10,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2008,12]]}},"alternative-id":["10.1142\/S0219493708002470"],"URL":"https:\/\/doi.org\/10.1142\/s0219493708002470","relation":{},"ISSN":["0219-4937","1793-6799"],"issn-type":[{"value":"0219-4937","type":"print"},{"value":"1793-6799","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,12]]}}}