Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group

DOI10.24033/ast.1103zbMath1470.37042arXiv1709.02521OpenAlexW3101181078MaRDI QIDQ3389473

Amie Wilkinson, Alex Eskin, Christian Bonatti

Publication date: 11 May 2021

Published in: Astérisque (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02521

zbMATH Keywords

invariant measuresLyapunov exponentsparabolic group actionsprojective cocycles

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (5)

Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves ⋮ Rigidity, lattices, and invariant measures beyond homogeneous dynamics ⋮ Unique ergodicity of the horocycle flow on Riemannnian foliations ⋮ Lyapunov exponents, holomorphic flat bundles and de Rham moduli space ⋮ Limits of geodesic push-forwards of horocycle invariant measures

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