For an ergodic measure-preserving system T with log-integrable cocycle A: X → GL(d, ℝ), almost every x has a Lyapunov flag V₁(x) ⊃ ⋯ ⊃ V_k(x) and Lyapunov exponents λ₁ > ⋯ > λ_k that are T-a.s. constants. Foundation of smooth ergodic…
For an ergodic measure-preserving system T with log-integrable cocycle A: X → GL(d, ℝ), almost every x has a Lyapunov flag V₁(x) ⊃ ⋯ ⊃ V_k(x) and Lyapunov exponents λ₁ > ⋯ > λ_k that are T-a.s. constants. Foundation of smooth ergodic…