A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles Journal Article


Author(s): Sadel, Christian
Article Title: A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles
Affiliation
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.
Journal Title: Ergodic Theory and Dynamical Systems
Volume: 35
Issue 5
ISSN: 01433857
Publisher: Cambridge University Press  
Date Published: 2015-03-14
Start Page: 1582
End Page: 1591
URL:
DOI: 10.1017/etds.2013.103
Open access: yes (repository)
IST Austria Authors
  1. Christian Sadel
    5 Sadel
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