{"_id":"1503","title":"A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles","quality_controlled":"1","publication":"Ergodic Theory and Dynamical Systems","date_created":"2018-12-11T11:52:24Z","page":"1582 - 1591","month":"03","date_updated":"2021-01-12T06:51:13Z","volume":35,"year":"2015","day":"14","type":"journal_article","status":"public","author":[{"full_name":"Sadel, Christian","last_name":"Sadel","id":"4760E9F8-F248-11E8-B48F-1D18A9856A87","first_name":"Christian","orcid":"0000-0001-8255-3968"}],"date_published":"2015-03-14T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1307.8414"}],"doi":"10.1017/etds.2013.103","oa_version":"Preprint","oa":1,"publication_status":"published","citation":{"mla":"Sadel, Christian. “A Herman-Avila-Bochi Formula for Higher-Dimensional Pseudo-Unitary and Hermitian-Symplectic-Cocycles.” <i>Ergodic Theory and Dynamical Systems</i>, vol. 35, no. 5, Cambridge University Press, 2015, pp. 1582–91, doi:<a href=\"https://doi.org/10.1017/etds.2013.103\">10.1017/etds.2013.103</a>.","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.","short":"C. Sadel, Ergodic Theory and Dynamical Systems 35 (2015) 1582–1591.","apa":"Sadel, C. (2015). A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles. <i>Ergodic Theory and Dynamical Systems</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/etds.2013.103\">https://doi.org/10.1017/etds.2013.103</a>","ieee":"C. Sadel, “A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles,” <i>Ergodic Theory and Dynamical Systems</i>, vol. 35, no. 5. Cambridge University Press, pp. 1582–1591, 2015.","ama":"Sadel C. A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles. <i>Ergodic Theory and Dynamical Systems</i>. 2015;35(5):1582-1591. doi:<a href=\"https://doi.org/10.1017/etds.2013.103\">10.1017/etds.2013.103</a>","chicago":"Sadel, Christian. “A Herman-Avila-Bochi Formula for Higher-Dimensional Pseudo-Unitary and Hermitian-Symplectic-Cocycles.” <i>Ergodic Theory and Dynamical Systems</i>. Cambridge University Press, 2015. <a href=\"https://doi.org/10.1017/etds.2013.103\">https://doi.org/10.1017/etds.2013.103</a>."},"abstract":[{"text":"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.","lang":"eng"}],"publisher":"Cambridge University Press","publist_id":"5675","extern":"1","language":[{"iso":"eng"}],"issue":"5","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"        35"}