Delplanque, Hyperbolic absolutely continuous invariant measures forC r one- dimensional maps.arXiv:2410.23021, (2024)

· 2024 · arXiv 2410.23021

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math.DS · 2026-02-10 · unverdicted · novelty 5.0

For C^r surface diffeomorphisms with h_top(f) ≥ λ⁺(f)/r, h_top(f) equals lim (1/n) log ∫_M ||Df^n_x|| dx.

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Entropy formula for surface diffeomorphisms math.DS · 2026-02-10 · unverdicted · none · ref 15
For C^r surface diffeomorphisms with h_top(f) ≥ λ⁺(f)/r, h_top(f) equals lim (1/n) log ∫_M ||Df^n_x|| dx.