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arXiv · 2512.23831

Absolutely partially hyperbolic surface endomorphisms are dynamically coherent

M. Andersson·W. Ranter
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Abstract

We show that if an endomorphism $f:\mathbb{T}^2 \to \mathbb{T}^2$ is absolutely partially hyperbolic, then it has a center foliation. Moreover, the center foliation is leaf conjugate to that of its linearization.

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M. Andersson, W. Ranter. 2025-12-29. Absolutely partially hyperbolic surface endomorphisms are dynamically coherent. https://arxiv.org/abs/2512.23831

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