[{"language":[{}],"quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1307.8414"}],"month":"03","date_updated":"2021-01-12T06:51:13Z","dini_type":"doc-type:article","date_created":"2018-12-11T11:52:24Z","volume":35,"author":[{"orcid":"0000-0001-8255-3968","id":"4760E9F8-F248-11E8-B48F-1D18A9856A87","last_name":"Sadel","first_name":"Christian"}],"publication_status":"published","creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"},"extern":"1","publist_id":"5675","date_published":"2015-03-14T00:00:00Z","page":"1582 - 1591","publication":"Ergodic Theory and Dynamical Systems","citation":{"ista":"Sadel C. 2015. A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles. Ergodic Theory and Dynamical Systems. 35(5), 1582–1591.","ieee":"C. Sadel, “A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles,” Ergodic Theory and Dynamical Systems, vol. 35, no. 5. Cambridge University Press, pp. 1582–1591, 2015.","apa":"Sadel, C. (2015). A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles. Ergodic Theory and Dynamical Systems. Cambridge University Press. https://doi.org/10.1017/etds.2013.103","chicago":"Sadel, Christian. “A Herman-Avila-Bochi Formula for Higher-Dimensional Pseudo-Unitary and Hermitian-Symplectic-Cocycles.” Ergodic Theory and Dynamical Systems. Cambridge University Press, 2015. https://doi.org/10.1017/etds.2013.103.","mla":"Sadel, Christian. “A Herman-Avila-Bochi Formula for Higher-Dimensional Pseudo-Unitary and Hermitian-Symplectic-Cocycles.” Ergodic Theory and Dynamical Systems, vol. 35, no. 5, Cambridge University Press, 2015, pp. 1582–91, doi:10.1017/etds.2013.103.","short":"C. Sadel, Ergodic Theory and Dynamical Systems 35 (2015) 1582–1591."},"day":"14","uri_base":"https://research-explorer.ista.ac.at","dc":{"date":["2015"],"language":["eng"],"rights":["info:eu-repo/semantics/openAccess"],"source":["Sadel C. A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles. Ergodic Theory and Dynamical Systems. 2015;35(5):1582-1591. doi:10.1017/etds.2013.103"],"publisher":["Cambridge University Press"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1017/etds.2013.103"],"title":["A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles"],"creator":["Sadel, Christian"],"identifier":["https://research-explorer.ista.ac.at/record/1503"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"description":["A Herman-Avila-Bochi type formula is obtained for the average sum of the top d Lyapunov exponents over a one-parameter family of double-struck G-cocycles, where double-struck G is the group that leaves a certain, non-degenerate Hermitian form of signature (c, d) invariant. The generic example of such a group is the pseudo-unitary group U(c, d) or, in the case c = d, the Hermitian-symplectic group HSp(2d) which naturally appears for cocycles related to Schrödinger operators. In the case d = 1, the formula for HSp(2d) cocycles reduces to the Herman-Avila-Bochi formula for SL(2, ℝ) cocycles."]},"oa_version":"Preprint","status":"public","intvolume":" 35","_id":"1503","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng"}],"issue":"5","type":"journal_article"}]