Singularities for analytic continuations of holonomy germs of Riccati foliations

DOI10.5802/aif.3013zbMath1385.37068arXiv1406.0977OpenAlexW2963540832MaRDI QIDQ332179

Sébastien Alvarez, Nicolas Hussenot

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0977

zbMATH Keywords

analytic continuationLyapunov exponentfoliated geodesic flowRiccati foliation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (3)

Analytic continuation of holonomy germs of Riccati foliations along Brownian paths ⋮ Irreducible holonomy groups and Riccati foliations in higher complex dimension ⋮ On the dynamics of Riccati foliations with nonparabolic monodromy representations

Cites Work

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• Discretization of harmonic measures for foliated bundles
• Foliations, the ergodic theorem and Brownian motion
• Function theory, random paths and covering spaces
• Dynamics in the moduli space of Abelian differentials
• Fluctuations of ergodic sums for horocycle flows on \(\mathbb Z^d\)-covers of finite volume surfaces
• Markov maps associated with Fuchsian groups
• The ergodic theory of axiom A flows
• Monodromy groups and linearly polymorphic functions
• Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices)
• Complex projective structures: Lyapunov exponent, degree, and harmonic measure
• Singular sets of holonomy maps for algebraic foliations
• Topological obstructions to the representability of functions by quadratures.
• Persistence theorems and simultaneous uniformization
• Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation
• Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves
• Some open problems in real and complex dynamical systems
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature
• Centennial History of Hilbert's 16th Problem
• Analytic continuation of holonomy germs of Riccati foliations along Brownian paths
• Gibbs measures for foliated bundles with negatively curved leaves
• Statistical behaviour of the leaves of Riccati foliations
• Foliated hyperbolicity and foliations with hyperbolic leaves
• Measures on hyperbolic surface laminations
• Noncommuting Random Products
• Ergodic theory and the geodesic flow on surfaces of constant negative curvature
• GIBBS MEASURES IN ERGODIC THEORY

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