2023/08/22 by Daniel Mitsutani, Mitsutani, Daniel, Jonathan DeWitt +1
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2308.11582
We prove that if a Hölder continuous fiber-bunched cocycle A over an invertible hyperbolic transitive shift Σ satisfies an appropriate strong irreducibility condition on Grassmannians, then Σ admits an ergodic measure μ with full support and product structure with simple Lyapunov spectrum if and only if any other ergodic measure with full support and product structure also has simple Lyapunov spectrum.