scientific article; zbMATH DE number 6322493

zbMath1350.37004MaRDI QIDQ5494662

Artur Avila, Amie Wilkinson, Marcelo Viana, Jimmy Santamaria

Publication date: 28 July 2014

Full work available at URL: http://smf4.emath.fr/Publications/Asterisque/2013/358/html/smf_ast_358_1-12.php

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zbMATH Keywords

Lyapunov spectrumAnosov diffeomorphismLivšic theory

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (8)

What are Lyapunov exponents, and why are they interesting? ⋮ Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space ⋮ Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms ⋮ Bifurcation in the almost periodic \(2\)D Ricker map ⋮ Cocycles with one exponent over partially hyperbolic systems ⋮ Topological cocycles ⋮ Density of positive Lyapunov exponents for symplectic cocycles ⋮ Unstable entropy in smooth ergodic theory ^*

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