@article{1503,
abstract = {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 = {Sadel, Christian},
journal = {Ergodic Theory and Dynamical Systems},
number = {5},
pages = {1582 -- 1591},
publisher = {Cambridge University Press},
title = {{A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles}},
doi = {10.1017/etds.2013.103},
volume = {35},
year = {2015},
}