Entropy for hyperbolic Riemann surface laminations I
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Publication:2948697
zbMath1352.37145arXiv1105.2307MaRDI QIDQ2948697
Tien-Cuong Dinh, Nessim Sibony, Viêt-Anh Nguyên
Publication date: 6 October 2015
Full work available at URL: https://arxiv.org/abs/1105.2307
Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical aspects of holomorphic foliations and vector fields (37F75)
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Oseledec multiplicative ergodic theorem for laminations ⋮ Two remarks on the Poincaré metric on a singular Riemann surface foliation ⋮ Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2 ⋮ Geometric characterization of Lyapunov exponents for Riemann surface laminations ⋮ Poincaré metric of holomorphic foliations with non-degenerate singularities ⋮ Étale dynamical systems and topological entropy ⋮ A few remarks on the Poincaré metric on a singular holomorphic foliation ⋮ Regularity of the leafwise Poincaré metric on singular holomorphic foliations ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Some open problems on holomorphic foliation theory ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Uniformization of foliations with hyperbolic leaves and the Beltrami equation with parameters
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