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math.DS2025
Statistical properties of equilibrium states for fiber-bunched matrix cocycles and applications
Reza Mohammadpour, Paulo Varandas
We contribute to the thermodynamic formalism of Hölder continuous fiber-bunched matrix cocycles, Anosov diffeomorphisms, and hyperbolic repellers. Specifically, we prove that -t…
math.DS2025
Multifractal formalism of Lyapunov exponents for fiber-bunched linear cocycles
Reza Mohammadpour, Paulo Varandas
We develop a higher-dimensional extension of multifractal analysis for typical fiber-bunched linear cocycles. Our main result is a relative variational principle, which shows that…