For a C^{1+α} diffeomorphism f of a compact manifold preserving a smooth (SRB) measure μ, the Kolmogorov–Sinai entropy equals the μ-integral of the sum of positive Lyapunov exponents. Pesin 1977. For general invariant μ, Ruelle's…
For a C^{1+α} diffeomorphism f of a compact manifold preserving a smooth (SRB) measure μ, the Kolmogorov–Sinai entropy equals the μ-integral of the sum of positive Lyapunov exponents. Pesin 1977. For general invariant μ, Ruelle's…