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arXiv · 2604.25063

Lyapunov spectrum of homoclinic classes

Lorenzo J. Díaz·Katrin Gelfert·Xiaodong Wang·Jiagang Yang
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Abstract

We study the Lyapunov spectrum of the ergodic measures of isolated homoclinic classes of $C^1$-generic diffeomorphisms. We show that this spectrum has nonempty interior and that any vector in its interior is the spectrum of some ergodic measure fully supported on the homoclinic class. We also discuss the averaged Lyapunov spectrum of homoclinic classes (an extension of the Lyapunov graph).

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Lorenzo J. Díaz, Katrin Gelfert, Xiaodong Wang, Jiagang Yang. 2026-04-27. Lyapunov spectrum of homoclinic classes. https://arxiv.org/abs/2604.25063

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