On the dynamics of Riccati foliations with nonparabolic monodromy representations

DOI10.1090/ecgd/337zbMath1442.37068arXiv1604.06689OpenAlexW2978459927WikidataQ125570009 ScholiaQ125570009MaRDI QIDQ5244402

Nicolas Hussenot Desenonges

Publication date: 21 November 2019

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06689

zbMATH Keywords

Brownian motionLyapunov exponentsconformal dynamicsRiccati foliations

Mathematics Subject Classification ID

Brownian motion (60J65) Continuation of analytic objects in several complex variables (32D15) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Singularities of holomorphic vector fields and foliations (32S65) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Dynamical aspects of holomorphic foliations and vector fields (37F75) Foliations generated by dynamical systems (37C86)

Related Items (4)

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 ⋮ Irreducible holonomy groups and Riccati foliations in higher complex dimension

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