---
_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'
...