Oseledec multiplicative ergodic theorem for laminations

DOI10.1090/memo/1164zbMath1373.37129arXiv1403.7338OpenAlexW2964301830MaRDI QIDQ5281627

Viêt-Anh Nguyên

Publication date: 26 July 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7338

zbMATH Keywords

Brownian motionWiener measurefoliationharmonic measureLyapunov exponentlaminationmultiplicative ergodic theoremholonomy invariantOseledec decomposition

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Diffusion processes and stochastic analysis on manifolds (58J65) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2 ⋮ Stochastic flows and rough differential equations on foliated spaces ⋮ Geometric characterization of Lyapunov exponents for Riemann surface laminations ⋮ Heat diffusions on holomorphic foliations with non-degenerate singularities ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Unique ergodicity for foliations on compact Kähler surfaces

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