--- _id: '1503' abstract: - lang: eng 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. author: - first_name: Christian full_name: Sadel, Christian id: 4760E9F8-F248-11E8-B48F-1D18A9856A87 last_name: Sadel orcid: 0000-0001-8255-3968 citation: ama: 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 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. 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. 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. 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. date_created: 2018-12-11T11:52:24Z date_published: 2015-03-14T00:00:00Z date_updated: 2021-01-12T06:51:13Z day: '14' doi: 10.1017/etds.2013.103 extern: '1' intvolume: ' 35' issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1307.8414 month: '03' oa: 1 oa_version: Preprint page: 1582 - 1591 publication: Ergodic Theory and Dynamical Systems publication_status: published publisher: Cambridge University Press publist_id: '5675' quality_controlled: '1' status: public title: A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 35 year: '2015' ...