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· arXiv 1702.01962

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math.DS 1

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Lyapunov spectrum of homoclinic classes

math.DS · 2026-04-27 · unverdicted · novelty 6.0

The Lyapunov spectrum of ergodic measures on isolated homoclinic classes of C¹-generic diffeomorphisms has nonempty interior, with every interior point realized by some fully supported ergodic measure.

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  • Lyapunov spectrum of homoclinic classes math.DS · 2026-04-27 · unverdicted · none · ref 33

    The Lyapunov spectrum of ergodic measures on isolated homoclinic classes of C¹-generic diffeomorphisms has nonempty interior, with every interior point realized by some fully supported ergodic measure.