On the Herman–Avila–Bochi formula for Lyapunov exponents of {\rm SL}(2,\mathbb{R}) -cocycles

DOI10.1088/0951-7715/24/9/004zbMath1275.37016arXiv1004.4800OpenAlexW2083470599MaRDI QIDQ3092769

João Lopes Dias, Alexandre Baraviera, Pedro Duarte

Publication date: 11 October 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4800

zbMATH Keywords

\(\mathrm{SL}(2,\mathbb R)\)-cocyclesaverage Lyapunov exponentsHerman-Avila-Bochi formula

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) General theory of linear incidence geometry and projective geometries (51A05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

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

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