Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows

DOI10.4171/JEMS/534zbMath1352.37084arXiv1110.2365MaRDI QIDQ496452

Amie Wilkinson, Artur Avila, Marcelo Viana

Publication date: 21 September 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2365

zbMATH Keywords

rigiditygeodesic flowdisintegrationLyapunov exponentabsolute continuitypartial hyperbolicity

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30) Geodesic flows in symplectic geometry and contact geometry (53D25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

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• Extremal Lyapunov exponents: an invariance principle and applications
• Dimension and product structure of hyperbolic measures
• SOME SMOOTH ERGODIC SYSTEMS

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