Geometric characterization of Lyapunov exponents for Riemann surface laminations

DOI10.1007/s12220-017-9919-8zbMath1450.37031arXiv1503.05231OpenAlexW3101342546MaRDI QIDQ2187682

Viêt-Anh Nguyên

Publication date: 3 June 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05231

zbMATH Keywords

Lyapunov exponentscocyclegeodesic rayRiemann surface laminationharmonic currentexpansion rate

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Foliations in differential topology; geometric theory (57R30) Local Riemannian geometry (53B20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Oseledec multiplicative ergodic theorem for laminations ⋮ Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2 ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives

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